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=[x(x-2)/2(x2+4)-2x2/(4+x2)(2-x)][x(x-2)(x+1)/x3]
={[x(x-2)(2-x)-4x2 ]/2(2-x)(4+x2)} .[x(x-2)(x+1)/x3 ]
=[-x(x2+4)/2(2-x)(4+x2)].[x(x-2)(x+1)/x3 ]
=-x.x(x-2)(x+1)/2(2-x)x3
=(x+1)/2x
\(\left(a+b\right)^2-\left(a-b\right)^2\)
\(=\left[a+b-\left(a-b\right)\right]\left[a+b+a-b\right]\)
\(=2b\cdot2a\)
\(=4ab\)
a: Ta có: \(\left(x+y\right)^2+\left(x-y\right)^2-2x^2\)
\(=x^2+2xy+y^2+x^2-2xy+y^2-2x^2\)
\(=2y^2\)
b: Ta có: \(\left(x+1\right)^3-\left(x-1\right)\left(x^2+x+1\right)-3x\left(x+1\right)\)
\(=x^3+3x^2+3x+1-x^3+1-3x^2-3x\)
=2
Bài làm
( x + 2 )2 - ( 2x - y )( x + 2y )
= ( x + 2 )2 - ( 2x - y )( 2y + x )
= ( x + 2 )2 - [( 2x )2 - y2 ]
= ( x + 2 )2 - 4x2 + y2
= x2 + 4x + 4 - 4x2 + y2
= 4x - 2x2 + y2
# Học tốt #
`Answer:`
`a)`
`A=5(x+1)^2-3(x-3)^2-4(x^2-4)`
`=>A=5(x^2+2x+1)-3(x^2-6x+9)-4x^2+16`
`=>A=5x^2+10x+5-3x^2+18x-27-4x^2+16`
`=>A=(5x^2-3x^2-4x^2)+(10x+18x)+(5-27+16)`
`=>A=-2x^2+28x-6`
`b)`
`B=5(x+1)^2-3(x-3)^2-4(x+2)(x-2)`
`=2x(3x+5)-3(3x+5)-2x(x^2-4x+4)-[(2x)^2-3^2]`
`=6x^2+10x-9x-15-2x^3+8x^2-8x-4x^2+9`
`=(6x^2-4x^2+8x^2)-2x^3+(10x-9x-8x)+(-15+9)`
Thay `x=-7` vào ta được:
`B=10(-7)^2-2(-7)^3-7(-7)-6`
`=>B=10.49-2(-343)+49-6`
`=>B=490+686+49-6`
`=>B=1219`
a, ( x+ 2 )( x - 2 ) - ( x-3 ( x-1)
= \(^{x^2}\) - \(2^2\) - ( \(x^2\)+ x - 3x - x)
= \(x^2\) - 4 - \(x^2\) - x + 3x + 3
= 2x -1
a, \(A=\left(x-1\right)\left(x^2+x+1\right)-\left(x+1\right)\left(x^2-x+1\right)=x^3-1-x^3-1=-2\)
b, \(B=2x\left(4x+1\right)-8x^2\left(x+1\right)+\left(2x\right)^3-2x+3\)
\(=8x^2+2x-8x^3-8x^2+8x^3-2x+3=3\)
c, \(C=\left(x-1\right)^3+\left(x+1\right)^3+2x\left(x+2\right)\left(x-2\right)\)
\(=\left(x-1+x+1\right)^3-3\left(x-1\right)\left(x+1\right)\left(x-1+x+1\right)+2x\left(x^2-4\right)\)
\(=8x^3-6x\left(x^2-1\right)+2x^3-8x=8x^3-6x^3+6x+2x^3-8x=4x^3-2\)
d, \(D=\left(x+y-5\right)^2-2\left(x+y-5\right)\left(x+3\right)+x^2+6x+9\)
\(=\left(x+y-5-x-3\right)^2=\left(y-8\right)^2=y^2-16x+64\)