Question

evaluate each of the following using appropriate identities:(a^2+b^2)^2

Answer 1

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

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#adithyasajeevan

Answer 2

НЄRЄ ΙЅ УσυR αИЅωЄR

$we \: know \: that \\ \\ (x + y) {}^{2} = x {}^{2} + 2xy + y {}^{2}$
$by \: using \: this \: formula \\ we \: get \\ \\ \\ (a {}^{2} + b {}^{2} ) {}^{2} \\ \\ = (a {}^{2}) {}^{2} + 2 \times a {}^{2} \times b {}^{2} +( b {}^{2} ) {}^{2} \\ \\ = a {}^{4} + 2a {}^{2} b {}^{2} + b {}^{4} \\ \\ = a {}^{4} + 2(ab) {}^{2} + b {}^{4}$

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.НσρЄ. ΙТ. НЄℓρЅ. Уσυ.

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