Question

Rút gọn biểu thức : 

2(x-y)(x+y) + (x-y)²+ (x y)²

 

Answer 1

Bài làm:

Ta có: \(2\left(x-y\right)\left(x+y\right)+\left(x-y\right)^2+\left(x+y\right)^2\)

\(=\left(x-y\right)^2+2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2\)

\(=\left(x-y+x+y\right)^2\)

\(=\left(2x\right)^2\)

\(=4x^2\)

Answer 2

\(2\left(x-y\right)\left(x+y\right)+\left(x-y\right)^2+\left(x+y\right)^2\)

\(=\left(x+y\right)^2+2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^2\)

\(=\left(x+y+x-y\right)^2=\left(2x\right)^2=4x^2\)

Answer 3

2( x - y )( x + y ) + ( x - y )² + ( x + y )²

= 2( x² - y² ) + x² - 2xy + y² + x² + 2xy + y²

= 2x² - 2y² + 2x² + 2y²

= 4x²

Answer 4

\(2\left(x-y\right)\left(x+y\right)+\left(x-y\right)^2+\left(x+y\right)^2\)

\(=2x^2+2xy-2yx-2y^2+x^2-2xy+y^2+x^2+2xy+y^2\)

\(=4x^2\)