Question

Phân tích thành nhân tử

a(x^2+1)-x(a^2+1)

 

Answer 1

Ta có: \(a\left(x^2+1\right)-x\left(a^2+1\right)=ax^2+a-xa^2-x=ax\left(x-a\right)-\left(x-a\right)=\left(x-a\right)\left(ax-1\right)\)

Answer 2

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

Answer 3

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

\(=ax^2+a-a^2x-x\)

\(=\left(ax^2-a^2x\right)+\left(a-x\right)\)

\(=-ax\left(a-x\right)+\left(a-x\right)\)

\(=\left(a-x\right)\left(-ax+1\right)\)

Answer 4

a(x²+1)-x(a²+1)
=ax²+a-xa²-x
=(ax²-x)-(xa²-a)
=x(ax-1)-a(xa-1)
=(ax-1)(x-a)