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

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Answer 1 · 2017-09-29T21:15:37

See a solution process below:

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

#4x^2 - 3x^4 - 5x^3 + 4x - 4x^4 - 7x^2#

Next, group like terms:

#-3x^4 - 4x^4 - 5x^3 + 4x^2 - 7x^2 + 4x#

Now, combine like terms:

#(-3 - 4)x^4 - 5x^3 + (4 - 7)x^2 + 4x#

#-7x^4 - 5x^3 + (-3)x^2 + 4x#

#-7x^4 - 5x^3 - 3x^2 + 4x#