Algebraic solution of mathematics seven.

1. It is known that A and B are two real roots of the equation X 2+2x-5 = 0. Find the value of (A 2+2ab+2a) (B 2+2ab+2b). From that A and B are two real roots of the equation X 2+2x-5 = 0, we get AB. a+b =-2a 2+2ab+2a)(B2+2ab+2b)= ab(a+2 b+2)(b+2a+2)=-5(-2+b+2)(-2+a+2)=-5ab = 25。 Xy=2 1。 To simplify the detailed steps, we need: 1/2(x+y+z) squared+1/2 (x-y-z)-z (x+y) =1. Square+1/2 (x-y) square = xsquare+ysquare is derived from X-Y = 6 and XY = 2 1 X+Y = (x-y) x+=(x-y = 78 3，A ^ 2-A b+ 2B ^ 2 = 3。 Find the values of 2AB-2A 2-4B 2-7 and 2AB-2A 2-4B 2-7 = 2 (AB-A 2-2B If a = 2x 2+3xy-2x-3, b =-x 2+xy+2, and 3A+6B have nothing to do with X, find the value solution of y: 3a+6b = 0? 5 -3(x-2/3x？ 0? 5) =9x+6x？ 0? 5-3x+2x？ 0? 5 =8x？ 0? 5+6x =8×(-2)？ 0? 5+6×(-2) =32- 12 =20 6,1/4 (-4x2+2x-8)-(1/2x-1), where x =/kloc-0. 0? 5+2x-8)-( 1/2x- 1)=-x？ 0? 5+ 1/2x-2- 1/2x+ 1 =-x？ 0? 5- 1 =-( 1/2)? 0? 5-1=-1/4-1=-5/47, 3x' y-[2x' y-(2xyz-x' z)-4x' z]-XYZ, where x =-2 and y =-. :3x ' y-[2x ' y-(2xyz-x ' z)-4x ' z]-XYZ = 3x ' y-2x ' y+2xyz-x ' z+4x ' z-XYZ = x ' y-XYZ+3x ' z = 4 *(3)-2 * 3 * 1+3 * 4 * 1 =- / kloc-0/2-6+ 12 =-6 8、(5a^2-3b^2) +(a 2+b 2)-(5a 2+3b 2b = 2 = 2a 2b+2ab 2-2a 2b+2-2ab 2-2 = 0 10， (X-2 is 1Y- 1)(X-2 is 1y+65438) Y=3.9 (simplify before evaluating) [(X-2 is1y)-1]. 5(9+a)×b-5(5+b)×a (1) simplifies the whole formula. (2) When a=5/7, find the value of the formula. 3.62g+62(g+b)-b (1) simplifies the whole formula. (2) When g=5/7, find the solution of b.4.. 3(x+y)-5(4+x)+2y (1) simplifies the whole formula. 5.(x+y)(x-y) (1) simplifies the whole formula. 6.2ab+a×a-b (1) simplifies the whole formula. 7.5.6x+4(x+y)-y (1) simplifies the whole formula. 8.6.4 (x+2.9)-y+2 (x-y) (1) simplifies the whole formula. 9.(2.5+x)(5.2+y) (1) simplifies the whole formula. 10,9.77x-(5-a) x+2a (5a2-3b2)+(a2+B2)-(5a2+3b2), where a=- 1 and b =1= 5a2-3b2+. b = 2 =2a^2b+2ab^2-2a^2b+2-2ab^2-2 = 0 x+7-(-36+8^2)/2=[-(-8x)+7^4]/3*(8^2-6x)(a-7)-(-98a)+7a=[(3.2*5a)2^5]/ 10 5+7x[3x+(- 189+5^2)/3]/ 8=52 1/2 4y+[ 1 19*(-5^3y+8/7)-8/3]=22/ 1 1(3x* 189)+{5*6+[-5/8*(-65*8^3)]+9/2} 7(2x- 1)-3(4x- / kloc-0/)= 4(3x+2)- 1(5y+ 1)+( 1-y)=(9y+ 1)+( 1-3y)[-6(-7^4*8)-4]=x+2 20%+( 1-20%)(3200? 5 -3(x-2/3x？ 0? 5) =9x+6x？ 0? 5-3x+2x？ 0? 5 =8x？ 0? 5+6x =8×(-2)？ 0? 5+6×(-2)= 32- 12 = 20 1/4(-4x？ 0? 5+2x-8)-( 1/2x- 1)=-x？ 0? 5+ 1/2x-2- 1/2x+ 1 =-x？ 0? 5- 1 =-( 1/2)? 0? 5- 1 =- 1/4- 1 =-5/4 3.3 ab-4ab+8ab-7ab+ab = _ _ _ _ _ _。 4.7x-(5x-5y) -y=______。 5.23 a3 BC 2- 15 ab2c+8 ABC-24 a3 BC 2-8 ABC = _ _ _ _ _ _。 6.-7x 2+6x+ 13 x2-4x-5x 2 = _ _ _ _ _ _。 7.2y+(-2y+5)-(3y+2) =______。 1 1.(2 x2-3xy+4 y2)+(x2+2xy-3 y2)= _ _ _ _ _ _。 12.2 a-(3a-2 b+2)+(3a-4 b- 1)= _ _ _ _ _ _。 13.-6x2-7x2+ 15x2-2x2=______。 14.2 x-(x+3y)-(-x-y)-(x-y)= _ _ _ _ _ _。 16.2 x+2y-[3x-2(x-y)]= _ _ _ _ _ _。 17.5-( 1-x)- 1-(x- 1)= _ _ _ . 18。 ()+(4xy+7x 2-y2)= 10 x2-xy . 19。 (4xy2-209。 Calculate a+b = _ _ _ _. 22. given A=x3-2x2+x-4 and B=2x3-5x+3, calculate a-b = _ _ _ _. 23. If a=-0.2 and b=0.5, the algebraic expression-(. Then this polynomial is equal to _ _ _ _ .26. -(2 x2-y2)-[2 x2-(x2+2xy)]= _ _ _ _ _ . 27。 If -3a3b2 and 5ax- 1by+2 are similar terms, then X = _ _ _ _. Y = _ _ _ _ _。 28.(-Y+6+3 Y4-Y3)-(2 y2-3 Y3+Y4-7)= _ _ _ _。 29. Simplified algebraic expression 4x2-[7x2-5x-3 (1) .31.3a-(2a-3b)+3 (a-2b)-b = _ _ _. 32. The simplified algebraic expression x-[y-2x-(x+y)] is equal to _ _ _ _. 33.【5a2+(。 1-x+y |-x-y | (where x < 0 and y > 0) is equal to _ _ _ _. 36. It is known that x≤y, x+y-| x+y-| x-y | = _ _ _ _ 37. It is known that x < 0. Simplified | x+y |-| 5-x-y | = _ _ _ .38.4a2n-an-(3an-2a2n) = _ _ _ .39 If you add -3x2y+2x2-3xy-4 to the polynomial, you get 2x2y+3xy2. Then this polynomial is _ _ _ _ .40. -5xm-XM-(-7xm)+(-3xm)= _ _ _ _ _ . 4 1。 When a=- 1 and b=-2, [a-(b-c]-[b-2 (-5a)]-(-3b+5c) = _ _ _ _ _. 44.-2(3x+z)-(-6x)+(-5y+3z)=______。 45.-5an-an+ 1-(-7an+ 1)+(-3an)= _ _ _ _ _ _。 46.3 a-(2a-4 b-6c)+3(-2c+2b)= _ _ _ _ . 48.9 a2+[7 a2-2a-(-a2+3a)]= _ _ _ _ . 50。 When 2y-x=5, 5 (x-2y) 2-3 (-x+2y)-65438+. b .-2； c .- 10； d-6.52。 In the following categories, the calculation result is-7x-5x2+6x3 [] a.3x-(5x2+6x3-10x); b . 3x-(5 x2+6 x3+ 10x)； c . 3x-(5 x2-6 x3+ 10x)； D.3x-(5x2-6x3- 10x)。 53. Merge (-x-y)+3(x+y)-5(x+y) to get [] A. (x-y)-2 (x+y); b .-3(x+y)； c .(-x-y)-2(x+y)； D.3 (x+y) .54.2a-[3b-5a-(2a-7b)] is equal to [] a.-7a+10b; b . 5a+4b； c .-a-4b； The algebraic formula of d. 9a- 10b. 55. 5 m2-3m-5 minus -3m is [] A.5 (m2-1); b . 5m 2-6m-5； c . 5(m2+ 1)； D.-(5m2+6m-5)。 56. The similar term in polynomial 2ab-9a2-5ab-4a2 should be [] A. (9a2-4a2)+(-2ab-5ab); b .(9 a2+4a 2)-(2ab-5ab)； c .(9 a2-4a 2)-(2ab+5ab)； D. (9a2-4a2)+(2ab-5ab)。 57. When a=2 and b= 1, -a2b+3ba2-(-2a2b) equals [] a.20; ; B.24C.0D. 16 ..., the correct choice is [] A. There is no similar project; B. (2) and (4) are similar projects; C. (2) and (5) are similar projects; D. (2) and (4) are not the same term. 59. If both A and B are quintic polynomials, then A-B must be [] A.10 polynomial; B. zeroth polynomial; C. Polynomials with a degree not higher than five; Polynomial with degree less than five. 60.-{[-(x+y)]}+{-[(x+y)]} equals [] A.0; ; b .-2y； c . x+y； D.-2x-2Y.6 1。 If A=3x2-5x+2 and B=3x2-5x+6, the sizes of a and b are [] a.a > b; B . A = Bc . A < B； D. can't be sure 62. When m=- 1, -2m2-[-4m2+(-m2)] equals [] a.-7; B.3c . 1； D.2.63 When m=2 and n= 1, the polynomial -m-[-(2m-3n)]+[-(-3m)-4n] is equal to [] a.1; B.9C.3d . 5 .[65]。 -5an-an-(-7an)+(-3an) equals [] A.-16an; b .- 16； c .-2an； d-2.66。 (5a-3b)-3 (a2-2b) is equal to [] a.3a2+5a+3b; b . 2 a2+3b； c . 2 a3-B2； D.-3a2+5a-5b.67.x3-5x2-4x+9 is equal to [] A. (x3-5x2)-(-4x+9); b . x3-5x 2-(4x+9)； c .-(-x3+5 x2)-(4x-9)； D.x3+9-(5x2-4x)。 The result of []69.4 x2y-5xy 2 should be [] A.-x2y; b .- 1； c .-x2y 2； None of the above answers are correct. (3) Simplify 70. (4x2-8x+5)-(x3+3x2-6x+2) .72。 (0.3x 3-x2y+xy2-y3)-(-0.5x 3-x2y+0.3 xy2). 73。 ——(-2ab 2+3a2b 2+a2b)。 75.(x2-2 y2-z2)-(-y2+3 x2-z2)+(5x 2-y2+2z 2)。 76.(3 a6-a4+2 a5-4 a3- 1)-(2-a+a3-a5-a4)。 77.(4a-2b-c)-5a-[8b-2c-(a+b)]。 78.(2m-3n) -(3m-2n)+(5n+m)。 79.(3 a2-4 ab-5 B2)-(2 B2-5a 2+2ab)-(-6ab)。 80.xy-(2xy-3z)+(3xy-4z)。 8 1.(-3x 3+2 x2-5x+ 1)-(5-6x-x2+x3)。 83.3x-(2x-4y-6x) +3 (-2z+2y)。 (-x2+4+3x4-x3)-(x2+2x-x4-5) .85。 If A=5a2-2ab+3b2 and B=-2b2+3ab-a2, calculate a+b.86. Find 2 (a-b) .87.2m-{-3n+[-4m-(3m-n)]) .88.5m2n+(-2m2n). -3(4a-2b)+2(7 a2-4ab+B2). 94.4 x-2(x-3)-3[x-3(4-2x)+8]。 (4) Simplify the following categories before evaluating 97. It is known that a+b=2, A-B. B=-b2-2c2+3a2, C=c2+2a2-3b2, find (a-b)+c.99.find (3x2y-2xy2)-(xy2-2x2y), where x =-/kloc. 65438. Find the algebraic expression 5(2x-y)-3(x-4y). 106. When P=a2+2ab+b2 and Q=a2-2ab-b2, find p-[q-2p-(p-q)]. 107. Where x =-3. 1 10. When x=-2, y=- 1 and z=3, find 5xyz-{2x2y-[3xyz-(4xy2-x2y)]} .55438+06548. Find A-3 (-2b). (5) Comprehensive exercises 1 15. Remove the brackets: {-[-(a+b)]}. 1 16. Remove the brackets: B=-x3-2x2+4x-6, calculate 2A-3B, and put the result in the brackets with "-"in front. 1 18. Calculate the following formula and put the result in brackets with "-"in front: (-7y2)+(-4y)- (. Arrange the results in ascending order of X, and enclose the last three items with "-":120. Do not change the value of the following formula, change the symbol before each bracket to the opposite symbol: (x3+3x2)-(3x2y-7xy)+(2y3-3y2).121. Put the cubic term of polynomial 4x2y-2xy2+4xy+6-x2y2+x3-y2 in brackets with "-"in front, and put the quartic term and constant term in brackets with "-"in front. 122. Remove the brackets of the following polynomials, combine similar terms, put them in brackets with "-"in front, and then find the value of 2x-2[3x-(5x2-2x+ 1)]-4x2. Where x =- 1. 123. Merge similar items: 7x-1.3z-4.7-3.2x-y+2.1z+5-0.1y.124. Merge similar projects. (2)4m-[5m-(2m- 1)]. 127。 Simplified: 2x2-{-3x-[4x2-(3x2-x)+(x-x2)]).128. Simplification:-+(-31a)-(+4a)-(-8a).130. Simplification: a3-(a2-a)+(a2-a+1)-(1-a4+a3) .0000000665 where x =-4. 132. Fill in the appropriate items in brackets: [()-9y+()]+2y2+3y-4 =11y2-()+133. . 134. Fill in the appropriate items in brackets: (3x2+xy-7y2)-() = y2-2x2.135. Fill in the appropriate items in the brackets: (1) x2-xy+y- 1 = x2. (2)[()+6x-7]-[4x 2+()-()]= x2-2x+ 1. 136。 Calculate 4x2-3 [x+4 (1-x)-x2]-2 (4x-(3x4+2x2-3x3-7).139. Given that A= 1 1x3+8x2-6x+2, B=7x3-x2+x+3, find 2 (3a-2b). 1438. (2)(a-b-c)-(a-b+c). 14 1。 Given A=3x2-4x3 and B=x3-5x2+2, calculate (1) a+b; (2) b-a. 142。 Known x

1.(374+55)+(253+25)+(347+526)

2.773-297+ 197

3.678+ 104-56

4.678+999+58

5.678- 134+33

6.678- 197+99

7.945-537-98+237

8. 19+ 199+ 1999+ 19999

9.77+64+75-73

10.(2542+2543-2538)-2

1 1.56+22+44

12.67+( 18+ 133)

13.728+34+76+272

14.327+466+(534+ 173)

15.585+(267+4 15)+733

16.874-(674+22)

17.57 1-36-64

18.672-(4 12+243)

19.7896-( 1234+5896)

20.426+ 109-5

2 1.5678-4987+632

22. 197+389-45

23.487+ 168-56

24.49+499-250

25.667+458-345

26.27+33+30-3 1

27.56+45-23

28.774+776-24

29.843+(365-243)

30. 147+26+53-39

3 1.800-89+40

32.2784+4253-784

33. 1668+65-24

34.9999+54-89

35.43+ 173-35

36.4 123+34 12-234 1

37.8247-(247+ 159)

38.54+48-5 1

39.562+78 1-264

40.3+6-2

4 1.32- 14+67

42.33+44-55

43.529+34 1-58 1

44.6 1+35-25

45.23- 12+68

46.52+63-49

47.37+29-48

48.63-54+68

49.55- 14+62

50.32+49-57