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

##### 1 Answer

Apr 8, 2016

#### 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) #