Factorise the expression:
$2 a^{3} - 3 a^{2} b + 2 a^{2} c$

a^{2} (2 a - 3 b + 2 c)

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a^{2} (2 a + 3 b + 2 c)

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a^{2} (2 a - 3 b - 2 c)

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None of these

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Solution

The correct option is A $a^{2} (2 a - 3 b + 2 c)$
$2 a^{3} - 3 a^{2} b + 2 a^{2} c$

Taking $a^{2}$ common from all $3$ terms

$= a^{2} (2 a - 3 b + 2 c)$

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Similar questions

Please Use the Components of Proportion like Componendo and dividends etc

If (a+3b+2c+6d)(a-3b-2c+6d)=(a+3b-2c-6d)(a-3b-2c+2c-6d)

Prove that a:b::c:d

(a - 3 b + 2 c) - (a + 3 b - 2 c)

2 a - [3 b - {a - (2 c - 3 b) + 4 c - 3 (a - b - 2 c)}]

\sum (b + c - 2 a)^{3} = 3 (b + c - 2 a) (c + a - 2 b) (a + b - 2 c)

a + 3 b + 2 c = 12

6 b c (1 + a) + a (3 b + 2 c)

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