4x(x-2y)+8y(2y-x)
=4x(x-2y)-8y(x-2y)
=(4x-8y)(x-2y)
=4(x-2y)(x-2y)
=4(x-2y)^2
\(4x\left(x-2y\right)+8y\left(2y-x\right)\)
\(=\left(x-2y\right)\left(4x-8y\right)\)
\(=\left(x-2y\right)\left(x-2y\right).4\)\(=\left(x-2y\right)^2\)
\(\left(x+1\right)^4+\left(x^2+x+1\right)^2\)
\(=\left(x+1\right)^4+x^2\left(x+1\right)^2+2x\left(x+1\right)+1\)
\(=\left(x+1\right)^2.\left(2x^2+2x+1\right)+\left(2x^2+2x+1\right)\)
\(=\left(2x^2+2x+1\right)\left(x^2+2x+2\right)\)
\(4x\left(x-2y\right)-8y\left(x-2y\right)\\ =\left(x-2y\right)\left(4x-8y\right)\\ =\left(x-2y\right)\cdot4\left(x-2y\right)\)
\(4x\left(x-2y\right)+8y\left(2y-x\right)\)
\(=4x\left(x-2y\right)-8y\left(x-2y\right)\)
\(=\left(x-2y\right)\left(4x-8y\right)\)
\(=\left(x-2y\right)4\left(x-2y\right)\)
\(=4\left(x-2y\right)^2\)
\(\left(x+1\right)^4+\left(x^2+x+1\right)^2.\)
\(=\left(x+1\right)^4+\left(x^4+x^2+1+2x^3+2x+2x^2\right)\)
\(=\left(x+1\right)^4+\left(x+1\right)^2+x^2\left(x^2+2x+2\right)\)
\(=\left(x+1\right)^2\left[\left(x+1\right)^2+1\right]+x^2\left(x^2+2x+2\right)\)
\(=\left(x+1\right)^2\left[x^2+2x+1+1\right]+x^2\left(x^2+2x+2\right)\)
\(=\left(x+1\right)^2\left(x^2+2x+2\right)+x^2\left(x^2+2x+2\right)\)
\(=\left(x^2+2x+2\right)\left[\left(x+1\right)^2+x^2\right]\)
\(=\left(x^2+2x+2\right)\left[x^2+2x+1+x^2\right]\)
\(=\left(x^2+2x+2\right)\left(2x^2+2x+1\right)\)
Sorry câu 1 là \(\left(4x-2y\right)^2nha\)
