Question

[Cỏ dại]

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

[Arima Kousei]

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

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

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

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

h ) \(x^2-ax^2-y+ay+cx^2-cy\)

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

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