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(a+b)(a-b) Expansion and Visualisation

Factorize 9...

Question

Factorize $9 x^{2} - 25$

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Solution

We know $9 x^{2} - 25$ $=$ $(3 x)^{2} - (5)^{2}$
Using identity $a^{2} - b^{2} = (a + b) (a - b)$
$∴ (3 x)^{2} - (5)^{2} = (3 x + 5) (3 x - 5)$

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