How do you combine #( 4r^3+3r^4)-(r^4-5r^3)#?

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Answer 1 · 2018-04-03T22:34:58

#2r^4 + 9r^3#

So here's what I did:

#(4r^3 + 3r^4) - (r^4 - 5r^3)#

First, you distribute the #-# to everything in its parenthesis:
#4r^3 + 3r^4 - r^4 + 5r^3#

Now we combine like terms.
#4r^3 + 5r^3 = 9r^3#

#3r^4 - r^4 = 2r^4#

So the combined format is #2r^4 + 9r^3#.

Hope this helps!