2、(x^3-2x^y)÷(-x^2)=-x+2x^(y-2)
3、-2 1a^2b^3÷7a^2b=-3b^2
4、(6a^3b-9a^c)÷3a^2=2ab-3a^(c-2)
5、(5ax^2+ 15x)÷5x=ax+3
6、(a+2b)(a-2b)=a^2-4b^2
7、(3a+b)^2=9a^2+6ab+b^2
8 、( 1/2 a- 1/3 b)^2= 1/4a^2- 1/3ab+ 1/9b^2
9、(x+5y)(x-7y)=x^2-2xy-35y^2
10、(2a+3b)(2a+3b)=4a^2+ 12ab+9b^2
1 1、(x+5)(x-7)=x^2-2x-35
12、5x^3×8x^2=40x^5
13、-3x×(2x^2-x+4)=-6x^3+3x^2- 12x
14、 1 1x^ 12×(- 12x^ 1 1)=- 132x^23
15、(x+5)(x+6)=x^2+ 1 1x+30
16、(2x+ 1)(2x+3)=4x^2+8x+3
17、3x^3y×(2x^2y-3xy)=6x^5*y^2-9x^4*y^2
18、2x×(3x^2-xy+y^2)=6x^3-2x^2*y+2xy^2
19、(a^3)^3÷(a^4)^2=a
20、(x^2y)^5÷(x^2y)^3=(x^2y)^2=x^4*y^2
2 1、(y^3)^3÷y^3÷(-y^2)^2=y^2
22、(-2mn^3)^3=-8m^3*n^9
23、(2x- 1)(3x+2)=6x^2+x-2
24 years old (2/3 x+3/4 y) 2 = 4/9 x 2+xy+9/16 y 2
25、200 1^2-2002×2002=(200 1+2002)(200 1-2002)=-4003
26、(2x+5)^2-(2x-5)^2=(2x+5+2x-5)(2x+5-2x+5)=4x* 10=40x
27、- 12m^3n^3÷4m^2n^3=-3m
28、2x^2y^2-4y^3z=2y^2*(x^2-2yz)
29、 1-4x^2=( 1-2x)( 1+2x)
30、x^3-25x=x(x^2-25)
3 1、x^3+4x^2+4x=x(x+2)^2
32、(x+2)(x+6)=x^2+8x+ 12
33、2a×3a^2=6a^3
34、(-2mn^2)^3=-8m^3*n^6
35、(-m+n)(m-n)=-m^2+2mn-n^2
36、27x^8÷3x^4=9x^4
37、(-2x^2)×(-y)+3xy×( 1- 1/3 x)=2x^2*y+3xy-x^2*y=x^2*y+3xy
38、am-an+ap=a(m-n+p)
39、25x^2+20xy+4y^2=(5x+2y)^2
40、(-4m^4+20m^3n-m^2n^2)÷(-4m^2)=m^2-5mn- 1/4n^2
4 1、( 12p^3q^4+20p^3q^2r-6p^4q^3)÷(-2pq)^2=3pq^2+5pr-3/2p^2*q
42 、[ 4y(2x-y)-2x(2x-y)]⊙(2x-y)= 4y-2x
43、(x^2y^3- 1/2 x^3y^2+2x^2y^2)÷ 1/2 xy^2=2xy-x^2+4x
44、(4a^3b^3-6a^2b^3c-2ab^5)÷(-2ab^2)=-2a^2*b+3abc+b^3
45 、( ax+bx)÷x=a+b
46 、( ma+mb+mc)÷m=a+b+c
47、(9x^4- 15x^2+6x)÷3x=3x^3-5x+2
48、(28a^3b^2c+a^2b^3- 14a^2b^2)÷(-7a^2b)=-4abc- 1/7b^2+2b
49、(6xy^2)^2÷3xy= 12xy ^3
50、24a^3b^2÷3ab^2=8
factoring
X^2-X-6=0
2X^2-3X-2=0
-3X^2+6X=2
4X^2-4X+ 1=0
X^2-2X+3=0
-X^2-2X+8=0
X^2-X-2=4
2X^2-3X+ 1=0
-3X^2+4X+4=0
4X^2- 1 1X-3=3
x^2-2x-3=0
4x^2- 1=0
5x^2-3x+2=0
-x^2-2x+8=0
x^2-8x+ 12=0
2x^2-6x+3=0
2x^2- 1 1x+5=0
4x^2- 16x+7=0
10x^2-9x-7=0
2x^2- 17x-9=0
12x^2+ 16x-3=0
5x^2- 1 1x+2=0
2x^2-9x+9=0
2x^2+3x-9=0
Equation.
1,x-y=2
xy= 15 (x=5,y=3)
2,x+y=6
x-y=2 (4,2)
3,x+y= 1 1,xy=30 (x=5,y=6,x=6,y=5)
4,x+y= 13,xy=42 (x=6,7,y=7,6)
5,x+y= 1 1,x-y= 1 (x=6,y=5)
6,x+y= 12,xy=35 (x=5,7,y=7,5)
7,x+y=5,xy=6 (x=2,3,y=3,2)
8,x-y=5,xy=36 (x=6,y= 1)
9,x+y= 10,xy=25 (x=y=5)
10,x+y= 17,y-x= 1 (x=8,y=9)
1 1,xy=2,x-y= 1 (x=2,y= 1)
12,x+y=3,xy=2 (x= 1,2,y=2, 1)
13,x+y= 12,xy= 1 1 (x= 1, 1 1,y= 1 1, 1)
14,x-y=8,xy=9 (x=9,y= 1)
15,x+y=4,x-y=2 (x=3,y= 1)
16,x+y=3,xy=0 (x=0,3,y=3,0)
17,x-y=5,xy=6 (x=6,y= 1)
Simplified assessment
The square is 1. Given | a+3 |+(b- 1) = 0, find the value of 3a-2ab+b.
2. Given (a-1)+4 (b+2)+| c+1| = 0, find the value of (a-ac+c)-2 (a+bc-2c).
3.(3x-2y-3xy)-(2x-3y+xy), where x+y = 2 and xy =- 1.
(-a-ab+b)-(-a+2ab+b), where a =-115 and b = 10.
5. It is known that | a+ 1/2 |+(b-3) = 0. Find the value of the algebraic expression [(2a+b)+(2a+b) (b-2a)-6b] \ (2b). 6.10a (5 times the square of a-b)-2a (25 times the square of 5b+a)-3ab, where a = 1 and b =1/23.7.1/3x3-2x2+2/.
8.5abc-{2a2b [3abc-(4ab2-a2b)]-2ab2} where a =-2, b = 3 and c =- 1/4.
9. Given a2+a- 1=0, find the value of the algebraic expression a3+2a2+5.
The quadratic form of10. (a+2)-(a-1) (a+1), where a = 3.25 is simplified first and then evaluated.
1 1.(X- 1) quadratic +(x+3) (x-3)+(x- 1), where the quadratic of x -2x =2.
12. It is known that A +b = 12, and the square of A+the square of B =74 to find the value of ab.
13. Simplify first, and then find the square of (4x-3y) -(3x-2y)(3x+2y), where x = 2 and y = 1.
14. Simplified evaluation: (1+a-5a)-(- a +2a), where a=-3.
15. Given 3/3 a=4/3 b=5/3 C, find the value of 2a+b+c in the algebraic expression 2b-a.
16.(x-3) 2+| y+2 | = 0, then the value of yx is ().
17. let a, b and c be rational numbers, and |a|+a=0, |ab|=ab, |c|-c=0 to find the value of the formula | B |-| A+B |-C-B |+| A-C |.
18.9x+6x 2-3 (x-2/3x 2), where x =-29x+6x2-3x+11/3x2 = 6x+29/3x2 = 6 * (2
19.1/4 (-4x2+2x-8)-(1/2x-1), where x =1/2-x2+1/2x-.
⑴5x(a-b)^2-3y(b-a)
=5x(a-b)^2+3y(a-b)
=(a-b)(5xa-5xb+3y)
⑵(y+ 1)(y^2- 1)-(y+ 1)^3
=(y+ 1)^2(y- 1)-(y+ 1)^3
=(y+ 1)^2(y- 1-y- 1)
=-2(y+ 1)^2
⑶2( 1-x^2)+6a(x- 1)^3
=-2(x+ 1)(x- 1)+6a(x- 1)^3
=(x- 1)(-2x-2+6ax^2- 12ax+6a)
⑷(x-m)^3(x-n)+(x-m)^2(n-x)
=(x-m)^3(x-n)-(x-m)^2(x-n)
=(x-m)^2 (x-n)(x-m- 1)
⑸-a(b-a)^2-ab(a-b)^2+ac(b-a)^2
=(b-a)^2(-a-ab+ac)
=-a(b-a)^2( 1+b-c) 1.ma+mb=
=m(a+b)
2.x^2-25=
=(x+5)(x-5)
3.x^2+6x+9=
=(x+3)^2
4. Fill in the brackets: 2x-3y+ 1=2x-(3y- 1)
5. Calculation: (2x 2-4xy)÷(x-2y)= 1
=2x(x-2y)/(x-2y)
=2x
6. Decomposition coefficient: 18A 4x 2+24a 2x 2y+8x 2y 2
=2x^2(9a^4+ 12a^2y+4y^2)
=2x^2(3a^2+2y)^2
Is it almost there?