F actorise - 9 x 2-4A- 3 x-23 x-2B- 3 x-23 x-2- 3 x-23 x-2D- 3 x-43 x-4

The correct option is B (3x+2)(3x 2) nbsp;The given expression nbsp;9x^2 4 can be written as, 9x^2 4=(3x)^2 (2)^2 [Using identity: a^2 b^2=(a+b)(a b)] ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

F actorise : ...

Question

$F a c t o r i s e : 9 x^{2} - 4$

(3 x - 2) (3 x - 2)

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(3 x + 2) (3 x - 2)

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(3 x + 2) (3 x + 2)

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(3 x - 4) (3 x + 4)

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Solution

The correct option is B $(3 x + 2) (3 x - 2)$
The given expression $9 x^{2} - 4$ can be written as,
$9 x^{2} - 4 = (3 x)^{2} - (2)^{2}$
$[Using identity: a^{2} - b^{2} = (a + b) (a - b)]$
$= (3 x + 2) (3 x - 2)$

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Q. 9x² - 4 can be factorised as ___.

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Factorise: 9x2−4

The correct option is B (3x+2)(3x−2) The given expression 9x2−4 can be written as, 9x2−4=(3x)2−(2)2 [Using identity: a2−b2=(a+b)(a−b)] =(3x+2)(3x−2)

$F a c t o r i s e : 9 x^{2} - 4$

The correct option is B $(3 x + 2) (3 x - 2)$
The given expression $9 x^{2} - 4$ can be written as,
$9 x^{2} - 4 = (3 x)^{2} - (2)^{2}$
$[Using identity: a^{2} - b^{2} = (a + b) (a - b)]$
$= (3 x + 2) (3 x - 2)$