# How do you use the difference of two squares formula to factor #2(y-4)^2 - 50#?

##### 1 Answer

Aug 7, 2018

#### Explanation:

#"take out a "color(blue)"common factor "2#

#=2[(y-4)^2-25]#

#a^2-b^2=(a-b)(a+b)larrcolor(blue)"difference of 2 squares"#

#"with "a=y-4" and "b=5#

#=2((y-4-5))((y-4)+5))#

#=2(y-9)(y+1)#