How do you simplify #(9g ^ { 2} - 5g - 5) + ( - 2g ^ { 4} + 3g ^ { 3} - 7g ^ { 2} - g + 8)#?

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Answer 1 · 2017-03-27T16:28:56

See the entire solution process below:

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

#9g^2 - 5g - 5 - 2g^4 + 3g^3 - 7g^2 - g + 8#

Next, group like terms:

#-2g^4 + 3g^3 + 9g^2 - 7g^2 - 5g - g - 5 + 8#

Now, combine like terms:

#-2g^4 + 3g^3 + 9g^2 - 7g^2 - 5g - 1g - 5 + 8#

#-2g^4 + 3g^3 + (9 - 7)g^2 + (-5 - 1)g + (-5 + 8)#

#-2g^4 + 3g^3 + 2g^2 -6g + 3#