How do you simplify #(m^ { 2} - 6m + 5) - ( 6m ^ { 2} + 3m - 1)#?

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Answer 1 · 2016-12-10T14:15:24

#-5m^2 - 9m + 6#

First, remove the terms from parenthesis being careful to handle the signs correctly:

#m^2 - 6m + 5 - 6m^2 - 3m + 1#

Now, group like terms:

#m^2 - 6m^2 - 6m - 3m + 5 + 1#

Now combine like terms for the solution:

#(1 - 6)m^2 - (6 + 3)m + 6#

#-5m^2 - 9m + 6#