Solve (m^(2)-n^(2))^(2) 8(m^(2)n^(2)) 16

Evaluate

(m^{2} - n^{2})^{2} \times 8 m^{2} n^{2} \times 16

Multiply the terms

(m^{2} - n^{2})^{2} \times 128 m^{2} n^{2}

Use the commutative property to reorder the terms

128 (m^{2} - n^{2})^{2} m^{2} n^{2}

Expand the expression

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128 (m^{4} - 2 m^{2} n^{2} + n^{4}) m^{2} n^{2}

Multiply the terms

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(128 m^{4} - 256 m^{2} n^{2} + 128 n^{4}) m^{2} n^{2}

Multiply the terms

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(128 m^{6} - 256 m^{4} n^{2} + 128 n^{4} m^{2}) n^{2}

Apply the distributive property

128 m^{6} n^{2} - 256 m^{4} n^{2} \times n^{2} + 128 n^{4} m^{2} n^{2}

Multiply the terms

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128 m^{6} n^{2} - 256 m^{4} n^{4} + 128 n^{4} m^{2} n^{2}

Solution

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128 m^{6} n^{2} - 256 m^{4} n^{4} + 128 n^{6} m^{2}

Simplify the expression