# How do you factor #12x^2 + 60x + 75#?

##### 1 Answer

Oct 30, 2016

#### Explanation:

Note that all of the terms are divisible by

#12x^2+60x+75 = 3(4x^2+20x+25)#

Next note that

Let's try:

#(2x+5)^2 = (2x)^2+2(2x)(5) + 5^2 = 4x^2+20x+25#

...matching our parenthesised quadratic.

So putting it all together we have:

#12x^2+60x+75 = 3(2x+5)^2#