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

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Answer 1 · 2018-03-06T23:41:15

See a solution process below:

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

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

Next, group like terms in descending order of the size of their exponents:

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

Now, combine like terms:

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

#0x^4 + 7x^3 + (-9)#

#7x^3 - 9#