Question

Phân tích các đa thức sau thành nhân tử:

\(g,4x^2\left(x-2y\right)-\left(4x+1\right)\left(2y-x\right)\)

\(h,x^2-ax^2-y+ay+cx^2-cy\)

Answer 1

a/ \(4x^2\left(x-2y\right)-\left(4x+1\right)\left(2y-x\right)\)

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

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

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

b/ \(x^2-ãx^2-y+ay+cx^2-cy\)

\(=\left(x^2-ax^2+cx^2\right)-\left(y-ay+cy\right)\)

\(=x^2\left(1-a+c\right)-y\left(1-a+c\right)\)

\(=\left(1-a+c\right)\left(x^2-y\right)\)