Question

Phân tích đa thức thành nhân tử

x²-4+(x-2)²

Answer 1

\(x^2-4+(x-2)^2\)

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

=2(x-2)\(^2\)

Answer 2

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

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

Answer 3

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

Answer 4

\(x^2-4+\left(x-2\right)^2\)

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

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