Question

a^4+2a^2b^2+b^4 factorise

Answer 1

Answer:

$a {}^{4} + 2a {}^{2}b {}^{2} + b {}^{4} \\ = (a {}^{2}) {}^{2} + 2 \times a {}^{2} \times b {}^{2} + (b {}^{2}) {}^{2} \\ = (a {}^{2} + b {}^{2} ) {}^{2} \\ = (a {}^{2} + b {}^{2})(a {}^{2} + b {}^{2} )$

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