How do you combine #(9x ^ { 4} + 5x ^ { 3} - 6) - ( 7x ^ { 2} - 9x + 6)#?

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Answer 1 · 2017-08-07T01:06:42

See a solution process below:

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

#9x^4 + 5x^3 - 6 - 7x^2 + 9x - 6#

Next, group like terms:

#9x^4 + 5x^3 - 7x^2 + 9x - 6 - 6#

Now, combine like terms:

#9x^4 + 5x^3 - 7x^2 + 9x + (-6 - 6)#

#9x^4 + 5x^3 - 7x^2 + 9x + (-12)#

#9x^4 + 5x^3 - 7x^2 + 9x - 12#

Answer 2 · 2017-08-07T01:16:27

#(9x^4+5x^3-6)-(7x^2-9x+6)=color(blue)(9x^4+5x^3-7x^2+9x-12#

See the explanation for the process.

Combine:

#(9x^4+5x^3-6)-(7x^2-9x+6)#

Simplify parentheses.

#9x^4+5x^3-6-7x^2+9x-6#

Gather like terms.

#9x^4+5x^3-7x^2+9x+(-6-6)#

Simplify.

#9x^4+5x^3-7x^2+9x-12#