How do you combine like terms in #(z - \frac { 8} { 3} ) - ( \frac { 4} { 3} z ^ { 2} - z + 1) #?

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Answer 1 · 2017-06-01T19:40:06

See a solution process below:

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

#z - 8/3 - 4/3z^2 + z - 1#

Next, group like terms:

#-4/3z^2 + z + z - 8/3 - 1#

Now, combine like terms:

#-4/3z^2 + 1z + 1z - 8/3 - 1#

#-4/3z^2 + (1 + 1)z + (-8/3 - 1)#

#-4/3z^2 + 2z + (-8/3 - (3/3 xx 1))#

#-4/3z^2 + 2z + (-8/3 - 3/3)#

#-4/3z^2 + 2z + (-11/3)#

#-4/3z^2 + 2z - 11/3#