Find the value of (a 2+2ab+2a) (b 2+2ab+2b).
Derived from the fact that A and B are two real numbers of the equation x 2+2x-5 = 0:
AB=-5，A+B=-2
A^2+2AB+2A)(B^2+2AB+2B)
=AB(A+2B+2)(B+2A+2)
=-5(-2+B+2)(-2+A+2)
=-5AB
=25
2, 1/2(x+y+z) squared+1/2 (x-y-z) (x-y+z)-z (x+y), where x-y=6 and xy=2 1. Be specific.
Simplify:
1/2(x+y+z) squared+1/2 (x-y-z) (x-y+z)-z (x+y) =1
1/2[(x+y) square +2z(x+y)+z square ]+ 1/2[(x-y) square -z square ]-z(x+y)=]
1/2(x+y) square+1/2(x-y) square =x square +y square.
From x-y=6, xy=2 1, x+y = (x-y)+2xy = 78.
3. Find the value of 2ab-2a 2-4b 2-7 from a 2-ab+2b 2 = 3.
2ab-2a^2-4b^2-7
=2(ab-a^2-2b^2)-7
=-2(a^2-ab+2b^2)-7
=(-2)*3-7
=-6-7=- 13
4. If A = 2x 2+3xy-2x-3, B =-x 2+xy+2, and the value of 3A+6B has nothing to do with X, find the value of y..
3a+6b=6x^2+9xy-6x-9-6x^2+6xy+ 12
= 15xy-6x+3
=x( 15y-6)+3
5.9x+6x 2-3 (x-2/3x 2), where x=-2.
9x+6x？ -3(x-2/3x？ )
=9x+6x？ -3x+2x？
=8x？ +6 times
=8×(-2)? +6×(-2)
=32- 12
=20
6.1/4 (-4x2+2x-8)-(1/2x-1), where x= 1/2.
1/4(-4x？ +2x-8)-( 1/2x- 1)
=-x？ + 1/2x-2- 1/2x+ 1
=-x？ - 1
=-( 1/2)? - 1
=- 1/4- 1
=-5/4
7.3x' y-[2x' y-(2xyz-x' z)-4x' z]-XYZ, where x =-2, y =-3, z = 1,
: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
=- 12-6+ 12
=-6
8.(5a 2-3b 2)+(a 2+b 2)-(5a 2+3b 2), where a =- 1 and b = 1.
=5a^2-3b^2+a^2+b^2-5a^2-3b^2
=a^2-5b^2
=(- 1)^2-5* 1^2
= 1-5
=-4
9,2 (A2B+AB 2)-2 (A2B-1)-2AB 2-2, where a =-2 and b = 2.
=2a^2b+2ab^2-2a^2b+2-2ab^2-2
=0
10 squared, (x-21y-1) (x-21y+1)-(x-21y-1).
Where x = 1.7 and y = 3.9 (simplify first and then evaluate).
[(X-2 is 1Y)- 1][(X+2 is 1Y)+ 1]-(X-2 is1y-0/) square.
= (x+ 1Y) square-1-(x- 1Y) square +2 (x- 1Y)- 1.
= (x+ 1Y) square -(x- 1Y) square +2 (x- 1y) -(X-2
=2XY+2X-Y-2
=3.9*2.4+ 1.4
= 10.76
Cross-cultural evaluation: I have the following requirements.
1 、-9(x-2)-y(x-5)
(1) simplifies the whole equation.
(2) When x=5, find the solution of y. 。
2、5(9+a)×b-5(5+b)×a
(1) simplifies the whole equation.
(2) When a=5/7, find the value of the formula.
3、62g+62(g+b)-b
(1) simplifies the whole equation.
(2) When g=5/7, find the solution of B. 。
4、3(x+y)-5(4+x)+2y
(1) simplifies the whole equation.
5 、( x+y)(x-y)
(1) simplifies the whole equation.
6、2ab+a×a-b
(1) simplifies the whole equation.
7、5.6x+4(x+y)-y
(1) simplifies the whole equation.
8、6.4(x+2.9)-y+2(x-y)
(1) simplifies the whole equation.
9 、( 2.5+x)(5.2+y)
(1) simplifies the whole equation.
10、9.77x-(5-a)x+2a
(5a 2-3b 2)+(a 2+b 2)-(5a 2+3b 2), where a =- 1 and b = 1.
=5a^2-3b^2+a^2+b^2-5a^2-3b^2
=a^2-5b^2
=(- 1)^2-5* 1^2
= 1-5
=-4
2 (A2B+AB 2)-2 (A2B-1)-2AB 2-2 where a =-2 and 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
(89/2+5x)+35/6x=[3*(-9+5)+2^3]/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- 1)= 4(3x+2)- 1
(5y+ 1)+( 1-y)=(9y+ 1)+( 1-3y)
[-6(-7^4*8)-4]=x+2
20%+( 1-20%)(320-x)= 320×40%
2(x-2)+2=x+ 1
2(x-2)-3(4x- 1)= 9( 1-x)
1 1x+64-2x = 100-9x
15-(8-5x)=7x+(4-3x)
3(x-7)-2[9-4(2-x)]=22
3/2[2/3( 1/4x- 1)-2]-x = 2
2x+7^2= 157
9x+6x？ -3(x-2/3x？ )
=9x+6x？ -3x+2x？
=8x？ +6 times
=8×(-2)? +6×(-2)
=32- 12
=20
1/4(-4x？ +2x-8)-( 1/2x- 1)
=-x？ + 1/2x-2- 1/2x+ 1
=-x？ - 1
=-( 1/2)? - 1
=- 1/4- 1
=-5/4,6,( 1) (-9)-(- 13)+(-20)+(-2)
(2) 3+ 13-(-7)/6
(3) (-2)-8- 14- 13
(4) (-7)*(- 1)/7+8
(5) (- 1 1)*4-(- 18)/ 18
(6) 4+(- 1 1)- 1/(-3)
(7) (- 17)-6- 16/(- 18)
(8) 5/7+(- 1)-(-8)
(9) (- 1) * (- 1 ..., 1,1+1= 2,0, the first volume of junior high school mathematics mixed operation problem simplification and calculation.
A * * * to 180! Whatever it is, there must be an answer!