# How do you factor #y= 4x^2 + 24x + 36#?

##### 1 Answer

Apr 28, 2018

#### Answer:

#### Explanation:

#"take out a "color(blue)"common factor "4#

#=4(x^2+6x+9)#

#x^2+6x+9" is a "color(blue)"perfect square"#

#"note that "(a+b)^2=a^2+2ab+b^2#

#"with "a=x" and "b=3#

#rArrx^2+6x+9=(x+3)^2#

#rArr4x^2+24x+36=4(x+3)^2#