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Math

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PROBLEM

Simplify: 3x279x2+11+5x3 x^{2} - 7 - 9 x^{2} + 11 + 5 x.

STEP 1

Assumptions1. The expression is a polynomial.
. The variables in the expression are real numbers.

STEP 2

The first step in simplifying the expression is to group like terms together. In this case, we have two types of terms the terms with x2x^{2} and the constant terms.
x29x27+11+5x x^{2} -9 x^{2} -7 +11 +5 x

STEP 3

Next, we simplify the terms with x2x^{2} by subtracting 9x29 x^{2} from 3x23 x^{2}.
3x29x2=6x23 x^{2} -9 x^{2} = -6 x^{2}

STEP 4

Now, we simplify the constant terms by adding 1111 to 7-7.
7+11=4-7 +11 =4

SOLUTION

Finally, we write the simplified expression by combining the simplified terms from steps3 and4, and the term with xx.
x2+5x+4- x^{2} +5 x +4So, the simplified expression is x2+5x+4- x^{2} +5 x +4.

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