Question

simplfy ( a² + b²)²​

Answer 1

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$\implies$ ( a² + b² ) ²

$\implies$ (a2 + b2)2 = (a2 + b2)(a2 + b2)

By the distributive property, while applying the product of exponents with like bases and combining like terms, we arrive at the following:

(a2 + b2)(a2 + b2) = (a2 · a2) + (a2 · b2) + (b2 · a2) + (b2 · b2)

= (a2+2) + (a2b2) + (a2b2) + (b2+2)

= a4 + 2a2b2 + b4

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