The correct option is B (5a 2)(5a+2)We know that, (a^2 b^2)=(a+b)(a b) ⇒ 25a^2 4=(5a)^2 2^2 =(5a+2)(5a 2) ...

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Factorisation Using Algebraic Identities

25 a2-4=

Question

$25 a^{2} - 4 =$

(5 a + 4) (5 a - 4)

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(5 a - 2) (5 a + 2)

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(5 a - 2)^{2}

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(5 a + 2)^{2}

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Solution

The correct option is B $(5 a - 2) (5 a + 2)$
We know that, $(a^{2} - b^{2}) = (a + b) (a - b)$
$\Rightarrow 25 a^{2} - 4 = (5 a)^{2} - 2^{2}$
$= (5 a + 2) (5 a - 2)$

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