Question

a, ( x - y - z )⁵ : ( x - y -z )³

b, ( x² + 2x + x² - 4 ) : (x + 2 )

Answer 1

\(a,=\left(x-y-z\right)^2\\ b,=\left[x\left(x+2\right)+\left(x-2\right)\left(x+2\right)\right]:\left(x+2\right)\\ =x+x-2=2x-2\)

Answer 2

\(a,\left(x-y-z\right)^5:\left(x-y-z\right)^3=\left(x-y-z\right)^2\)

\(b,\left(x^2+2x+x^2-4\right):\left(x+2\right)\\ =\left[x\left(x+2\right)+\left(x-2\right)\left(x+2\right)\right]:\left(x+2\right)\\ =\left[\left(x+2\right)\left(x+x-2\right)\right]:\left(x+2\right)\\ =2x-2\)