Factorize- 12 a 2-60 ab -75 b 2A- 32 a -5 b 2 a -5 b B- 2 a-5 b2 a-5 bC- 62 a -5 b 2 a -5 b D- 122 a -5 b 2 a -5 b

The correct option is A 3(2a + 5b)(2a + 5b)⇒ 12a^2 + 60ab + 75b^2 ⇒ 3[4a^2 + 20ab + 25b^2] ⇒ 3[4a^2 + 10ab + 10ab + 25b^2] ⇒ 3[2a(2a + 5b) + 5b(2a + 5b)] ⇒ 3[( ...

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Standard IX

Mathematics

Perfect Square Trinomials

Factorize: 12...

Question

Factorize: $12 a^{2} + 60 a b + 75 b^{2}$

3 (2 a + 5 b) (2 a + 5 b)

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12 (2 a + 5 b) (2 a + 5 b)

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Solution

The correct option is A $3 (2 a + 5 b) (2 a + 5 b)$
$\Rightarrow 12 a^{2} + 60 a b + 75 b^{2}$
$\Rightarrow 3 [4 a^{2} + 20 a b + 25 b^{2}]$
$\Rightarrow 3 [4 a^{2} + 10 a b + 10 a b + 25 b^{2}]$
$\Rightarrow 3 [2 a (2 a + 5 b) + 5 b (2 a + 5 b)]$
$\Rightarrow 3 [(2 a + 5 b) (2 a + 5 b)]$
$\Rightarrow 3 (2 a + 5 b) (2 a + 5 b)$

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Factorize: 12a2+60ab+75b2

The correct option is A 3(2a+5b)(2a+5b)⇒12a2+60ab+75b2 ⇒3[4a2+20ab+25b2] ⇒3[4a2+10ab+10ab+25b2] ⇒3[2a(2a+5b)+5b(2a+5b)] ⇒3[(2a+5b)(2a+5b)] ⇒3(2a+5b)(2a+5b)

Factorize: $12 a^{2} + 60 a b + 75 b^{2}$