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Quantitative Aptitude

Functions

Simplify the ...

Question

Simplify the given expression:
$(9 x^{2} - 1) - (1 + 3 x)^{2}$

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Solution

$(9 x^{2} - 1) - (1 + 3 x)^{2}$
$= 81 x^{2} + 1 - 18 x - (1 + 9 x^{2} + 6 x)$
$= 81 x^{2} + / 1 - 18 x - / 1 - 9 x^{2} - 6 x$
$= 72 x^{2} - 24 x$
$= 24 x (3 x - 1)$

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