The correct option is D a^4 2a^2b^2 + b^4 (a^2 nbsp;b^2)^2 Using, (a b)^2=a^2 2ab+b^2 we get =(a^2)^2 2(a^2)(b^2)+(b^2)^2 =a^4 2 ...

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(a-b)^2 Expansion and Visualisation

Simplify a2...

Question

Simplify $(a^{2} - b^{2})^{2}$ .

a^{4} - 2 a^{2} b^{2} + b^{4}

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a^{4} + 2 a^{2} b^{2} + b^{4}

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a^{2} - 2 a^{2} b^{2} - b^{4}

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a^{4} + 2 a^{2} b^{2} - b^{4}

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Solution

The correct option is D $a^{4} - 2 a^{2} b^{2} + b^{4}$
$(a^{2} - b^{2})^{2}$
Using,
$(a - b)^{2} = a^{2} - 2 a b + b^{2}$ we get
$= (a^{2})^{2} - 2 (a^{2}) (b^{2}) + (b^{2})^{2}$
$= a^{4} - 2 a^{2} b^{2} + b^{4}$

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