Q. 35.0( 4 Votes )

# Factorize:

343 + 125 b^{3}

Answer :

We know that,

a^{3} + b^{3} = (a + b) (a^{2} – a × b + b^{2})

Using this formula, we get

= (7)^{3} + (5b)^{3}

= (7 + 5b) [(7)^{2} – (7) (5b) + (5b)^{2}]

= (7 + 5b) (49 – 35b + 25b^{2})

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