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

Evaluate

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

Multiply the exponents

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

Multiply the numbers

x^{4} (x - 2)^{2}

Expand the expression

More Steps

x^{4} (x^{2} - 4 x + 4)

Apply the distributive property

x^{4} \times x^{2} - x^{4} \times 4 x + x^{4} \times 4

Multiply the terms

More Steps

x^{6} - x^{4} \times 4 x + x^{4} \times 4

Multiply the terms

More Steps

x^{6} - 4 x^{5} + x^{4} \times 4

Solution

x^{6} - 4 x^{5} + 4 x^{4}

Simplify the expression