Question 85 (xiii)

Expand the following, using suitable identities.

$(a^{2} + b^{2})^{2}$

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Solution

We have,
$(a^{2} + b^{2})^{2} = (a^{2})^{2} + (b^{2})^{2} + 2 a^{2} \times b^{2} = a^{4} + b^{4} + 2 a^{2} b^{2}$
[using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]

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