How do you factor s^3 + s^2 +4sq^2 + 4q^2?

1 Answer
Jim G.
Apr 8, 2016

(s + 1)(s^2 + 4q^2)

Explanation:

Group the terms into 'pairs' as follows.

[ s^3 + s^2 ] + [ 4sq^2 + 4q^2 ]

now factorise each pair.

rArr s^2(s + 1 ) + 4q^2(s + 1 )

We can now take out a common factor of (s + 1 )

rArr (s + 1)(s^2 + 4q^2)

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