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

Evaluate

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

Rewrite the expression in exponential form

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

Use the commutative property to reorder the terms

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

Expand the expression

More Steps

x^{2} (x^{3} - 6 x^{2} + 12 x - 8)

Apply the distributive property

x^{2} \times x^{3} - x^{2} \times 6 x^{2} + x^{2} \times 12 x - x^{2} \times 8

Multiply the terms

More Steps

x^{5} - x^{2} \times 6 x^{2} + x^{2} \times 12 x - x^{2} \times 8

Multiply the terms

More Steps

x^{5} - 6 x^{4} + x^{2} \times 12 x - x^{2} \times 8

Multiply the terms

More Steps

x^{5} - 6 x^{4} + 12 x^{3} - x^{2} \times 8

Solution

x^{5} - 6 x^{4} + 12 x^{3} - 8 x^{2}

Simplify the expression