Question

phân tích đa thứ thành nhân tử :

a,2x(x-1)-(1-x)

b,7x(x - y) + 2(y - x)²

Answer 1

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

\(7x\left(x-y\right)+2\left(y-x\right)^2=7x\left(x-y\right)+2\left(x-y\right)^2=\left(x-y\right)\left(7x+2x-2y\right)=\left(x-y\right)\left(9x-2y\right)\)

Answer 2

2x (x - 1) - (1 - x)

= (x - 1) (2x + 1)

7x(x - y) + 2 (y - x)²

= 7x(x - y) + 2(x - y)²

= (x - y)(7x + 2x - 2y)

= (x - y) (9x - 2y)