Question

Phân tích đa thức thành nhân tử

Answer 1

\(4x\left(x-2y\right)+12y\left(2y-x\right)=4x\left(x-2y\right)-12y\left(x-2y\right)=4\left(x-2y\right)\left(x+3y\right)\)

\(4x\left(x+1\right)^2-5x^2\left(x+1\right)-4\left(x+1\right)=\left(x+1\right)\left(4x\left(x+1\right)-5x^2-4\right)\)

\(=\left(x+1\right)\left(-x^2+4x-4\right)=-\left(x+1\right)\left(x^2-4x+4\right)=-\left(x+1\right)\left(x-2\right)^2\)

Answer 2

a/4x(x - 2y) + 12y(2y - x)

= 4x^2 - 8xy + 24y^2 - 12xy

= 4x^2 + 24y^2 -8xy - 12xy

=4x^2 + 24y^2 - 20xy