Solve x^2(x-1)^2

$$x ^ { 2 } ( x - 1 ) ^ { 2 }$$

Evaluate

$$\left(x\left(x-1\right)\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

$$x^{2}\left(x^{2}-2x+1\right)$$

Use the distributive property to multiply x^{2} by x^{2}-2x+1.

$$x^{4}-2x^{3}+x^{2}$$

Expand

$$x^{4}-2x^{3}+x^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.

$$x^{2}\left(x^{2}-2x+1\right)$$

Use the distributive property to multiply x^{2} by x^{2}-2x+1.

$$x^{4}-2x^{3}+x^{2}$$