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Algebraic Identities

Simplify: a...

Question

Simplify: ${(a^{2} - b^{2})}^{2}$

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Solution

# $(a^{2} - b^{2})^{2} = (a^{2})^{2} + (b^{2})^{2} - 2 (a^{2}) (b^{2})$
$= a^{4} + b^{4} - 2 a^{2} b^{2}$

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