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(a + b)^2 Expansion and Visualisation

Factorize the...

Question

Factorize the equation $50 a^{3} - 2 a$

2 a (5 a + 1) (5 a + 6)

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2 a (a + 1) (1 - a)

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2 a (5 a + 1) (5 a - 1)

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2 a (a + 1) (a + 1)

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Solution

The correct option is C $2 a (5 a + 1) (5 a - 1)$
$50 a^{3} - 2 a$
$= 2 a (25 a^{2} - 1^{2})$
Using,
$a^{2} - b^{2} = (a + b) (a - b)$
$= 2 a (5 a + 1) (5 a - 1)$

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