The correct option is B (a+b)^2(a b)^2 Given, (a^2 b^2)^2 Using , (a b)^2 = a^2 2ab + b^2 ⇒ (a^2)^2 2 (a^2)(b^2) + (b^2)^2 = a^4 ...

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(a-b)^2 Expansion and Visualisation

Simplify a2...

Question

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

(b)^{2} (a - b)^{2}

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

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(a - b)^{2} (a - b)^{2}

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

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Solution

The correct option is B $(a + b)^{2} (a - b)^{2}$
Given, $(a^{2} - b^{2})^{2}$

Using , $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
$\Rightarrow (a^{2})^{2} - 2 (a^{2}) (b^{2}) + (b^{2})^{2}$

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

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