How do you combine like terms in #(5z ^ { 2} + 8z ) - ( - 5z ^ { 2} + 2z - 5)#?

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Answer 1 · 2018-03-14T14:04:14

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#5z^2 + 8z + 5z^2 - 2z + 5#

Next, group like terms:

#5z^2 + 5z^2 + 8z - 2z + 5#

Now, combine like terms:

#(5 + 5)z^2 + (8 - 2)z + 5#

#10z^2 + 6z + 5#

Answer 2 · 2018-03-14T14:12:25

# = 10z^2 + 6z + 5#

You first multiply every number in the 2nd bracket by the negative sign in front of it:

#(5z^2 + 8z) - (-5z^2 + 2z - 5)#

#= 5z^2 + 8z + 5z^2 - 2z + 5#

You then bring like terms together and add them:

#=5z^2 + 5z^2 + 8z - 2z + 5#

#= 10z^2 + 6z + 5#