Question

a⁴-(b+c)⁴ answer the question
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Answer 1

Solution

$a {}^{4} - (b + c) {}^{4} \\ = (a {}^{2} ) {}^{2} -( (b + c) {}^{2} ) {}^{2} \\ = (a {}^{2} - (b + c) {}^{2} )(a {}^{2} + (b + c) {}^{2} ) \\ = (a - (b + c))(a + (b + c))(a {}^{2} + (b + c) {}^{2} ) \\ = (a - b - c)(a + b + c)(a {}^{2} + b {}^{2} + c {}^{2} + 2bc)$