How do you simplify #5c^2 (c+ 10) -4c(2c^2 -6c+ 1)#?

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Answer 1 · 2017-11-30T21:26:22

#-3c^3 + 74c^2 - 4c#

First we need to expand the first bracket by multiplying #c# by #5c^2# and #10# by #5c^2#, so we get:

#5c^3 + 50c^2#

Then we need to expand the 2nd bracket. We do the same as before and multiply everything inside the bracket by #-4c#. We get:

#-8c^3 + 24c^2 - 4c#

Put these two together and we have:

#5c^3 + 50c^2 -8c^3 + 24c^2 - 4c#

Now we collect like terms to get:

#-3c^3 + 74c^2 - 4c#

Hope this helps!