How do you use the difference of two squares formula to factor 2(y-4)^2 - 502(y−4)2−50?
1 Answer
Aug 7, 2018
Explanation:
"take out a "color(blue)"common factor "2take out a common factor 2
=2[(y-4)^2-25]=2[(y−4)2−25]
a^2-b^2=(a-b)(a+b)larrcolor(blue)"difference of 2 squares"a2−b2=(a−b)(a+b)←difference of 2 squares
"with "a=y-4" and "b=5with a=y−4 and b=5
=2((y-4-5))((y-4)+5))=2((y−4−5))((y−4)+5))
=2(y-9)(y+1)=2(y−9)(y+1)
