Question

Phân tích thành nhân tử

\(16x^2y-4xy^2-4x^3+x^2y\)

Answer 1

=(16x²y+x²y)-4xy²-4x³

=17x²-4xy²-4x³

Answer 2

\(giải:\)

\(16x^2y-4xy^2-4x^3+x^2y\)

\(=\left(16x^2y-4xy^2\right)-\left(4x^3-x^2y\right)\)

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

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

\(=\left(4x-y\right)\left(\sqrt{4xy}-x\right)\left(\sqrt{4xy}+x\right)\)

\(=\left(4x-y\right)\left(2\sqrt{xy}-x\right)\left(2\sqrt{xy}+x\right)\)