The correct option is C 3 ( 3ax+4b ) ( 3ax 4b ) 27a^2x^2 48b^2 = #160; 3 ( 9a^2x^2 16b^2 )=3{ ( 3ax )^2 ( 4b )^2} = #160; 3 ( 3ax+4b ...

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Dividing a Monomial by a Monomial

27a2x2-48b2=

Question

$27 a^{2} x^{2} - 48 b^{2}$ =_____

(9 a x - 16 b) (3 a x - 3 b)

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(3 a x - 16 b) (9 a x - 3 b)

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3 (3 a x + 4 b) (3 a x - 4 b)

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3 (3 a x + 6 b) (3 a x - 4 b)

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Solution

The correct option is C $3 (3 a x + 4 b) (3 a x - 4 b)$
$27 a^{2} x^{2} - 48 b^{2}$
= $3 (9 a^{2} x^{2} - 16 b^{2}) = 3 {{(3 a x)}^{2} - {(4 b)}^{2}}$
= $3 (3 a x + 4 b) (3 a x - 4 b)$

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