Solve (x-1)(x-1)(x-1)(x^2)

Evaluate

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

Rewrite the expression in exponential form

(x - 1)^{3} x^{2}

Use the commutative property to reorder the terms

x^{2} (x - 1)^{3}

Expand the expression

More Steps

x^{2} (x^{3} - 3 x^{2} + 3 x - 1)

Apply the distributive property

x^{2} \times x^{3} - x^{2} \times 3 x^{2} + x^{2} \times 3 x - x^{2} \times 1

Multiply the terms

More Steps

x^{5} - x^{2} \times 3 x^{2} + x^{2} \times 3 x - x^{2} \times 1

Multiply the terms

More Steps

x^{5} - 3 x^{4} + x^{2} \times 3 x - x^{2} \times 1

Multiply the terms

More Steps

x^{5} - 3 x^{4} + 3 x^{3} - x^{2} \times 1

Solution

x^{5} - 3 x^{4} + 3 x^{3} - x^{2}

Simplify the expression