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# Simplify x2 + x + 3 – 4x – 4x2 – 10 by combining like terms.

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### 2 Answers by Expert Tutors

Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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x2 + x + 3 - 4x -4x2 - 10

"Like terms" are terms that contain the same variables raised to the same power, such as x2.  Only the numerical coefficients are different (3x2, -5x2, etc.).  The first step is to group the like terms.  I've added parentheses to make it clear, but the parentheses are not required:

(x2 - 4x2) + (x - 4x) + (3 -10)

Here x2 and -4x2 are like terms, x and -4x are like terms, and 3 and -10 are like terms.  Next simplify by adding or subtracting the like terms:

x2 - 4x2 = -3x2
x - 4x = -3x
3 - 10 = -7

x2 + x + 3 - 4x -4x2 - 10 =  (x2 - 4x2) + (x - 4x) + (3 -10) = -3x2 - 3x - 7
Ray A. | Experienced Math and Physics Prof.Experienced Math and Physics Prof.
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x2 + x + 3 – 4x – 4x2 – 10

Re-writing the expression so that like terms are grouped, yields

(x2 - 4x2) + (x-4x) +(3-10)

Simplifying the like terms , the final expression is

-3x2 -3x -7