The correct option is D a^4 2a^2b^2+b^4(a^2 b^2) =(a^2)^2 2 × a^2× b^2+(b^2)^2 [Using identity (a b)^2 =a^2 2ab+b^2] =a^4 2a^2b^2+b^4 ...

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Factor of Polynomials

Simplify:a2-b...

Question

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

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

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

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

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

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Solution

The correct option is A $a^{4} - 2 a^{2} b^{2} + b^{4}$
$(a^{2} - b^{2}) = (a^{2})^{2} - 2 \times a^{2} \times b^{2} + (b^{2})^{2}$
$[U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= a^{4} - 2 a^{2} b^{2} + b^{4}$

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Similar questions

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

(a^{2} + 5) (b^{3} + 3) + 5

Question 3(ii)
Simplify:
$(a^{2} + 5) (b^{3} + 3) + 5$

\frac{(a^{2} - b^{2})^{3} + (b^{2} - c^{2})^{3} + (c^{2} - a^{2})^{3}}{(a - b)^{3} + (b - c)^{3} + (c - a)^{3}}

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