Question

\(\dfrac{3x\left(x-y\right)^2\left(x-1\right)}{6x\left(x-1\right)\left(x-y\right)^3}\)

\(\dfrac{x^2+2x+1}{x+1}\)

\(\dfrac{a^3-4a^2+4a}{a^2-4}\)

\(\dfrac{7x^2+14x+7}{3x^2+3x}\)

Answer 1

a: \(=\dfrac{3x\left(x-y\right)^2\cdot\left(x-1\right)}{3x\left(x-1\right)\cdot\left(x-y\right)^2\cdot2\cdot\left(x-y\right)}=\dfrac{1}{2\left(x-y\right)}\)

b: =(x+1)^2/(x+1)=x+1

c: \(=\dfrac{a\left(a^2-4a+4\right)}{\left(a-2\right)\left(a+2\right)}=\dfrac{a\left(a-2\right)^2}{\left(a-2\right)\left(a+2\right)}=\dfrac{a\left(a-2\right)}{a+2}\)

d: \(=\dfrac{7\left(x+1\right)^2}{3x\left(x+1\right)}=\dfrac{7\left(x+1\right)}{3x}\)