How do you simplify #(5y^2-20)/(y^2+4y+4)#?

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Answer 1 · 2018-03-29T02:18:38

#\frac{5(y - 2)}{(y+2)}#

Expand the numerator... (you'll see why soon)

#5y^2 - 20#

#5(y^2 - 4)#

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

Expand the denominator...

#(y + 2)(y + 2)#

Now your expression looks like this in expanded form...

#\frac{5(y - 2)(y + 2)}{(y+2)(y+2)}#

As you can see, you can cancel the #(y+2)# from both the numerator and the denominator.

#\frac{5(y - 2)}{(y+2)}# #\leftarrow# this is the simplified form