Question

Cmr (x+y)⁶ +(x-y)⁶ chia het cho x² + y²

Answer 1

tích mình đi

ai tích mình 

mình tích lại 

thanks

Answer 2

\(\left(x+y\right)^6+\left(x-y\right)^6=\left[\left(x+y\right)^2+\left(x-y\right)^2\right]\left[\left(x+y\right)^4-\left(x+y\right)^2\left(x-y\right)^2+\left(x-y\right)^4\right]\)

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