How do you combine like terms in #5( 9y ^ { 2} - 5y + 7) - 3( 2y ^ { 2} - 8y + 9)#?

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Answer 1 · 2018-06-24T23:07:53

#39y^2-y+8#

First, let's distribute the #5# and #-3# to their respective terms. This gives us

#45y^2-25y+35-6y^2+24y-27#

Like terms are terms that have the same degree. Let's arrange the terms in descending degree.

#45y^2-6y^2-25y+24y+35-27#

We subtract the #y^2# terms to get

#39y^2#

Add the #y# terms to get

#-y#

Subtract the constants to get

#8#

We're left with

#39y^2-y+8#

Hope this helps!