Math

QuestionCombine like terms in the expression: 7x2x2+3x2 7x - 2x^{2} + 3 - x^{2} .

Studdy Solution

STEP 1

Assumptions1. We are given an algebraic expression 7xx+3x7x -x^{} +3 - x^{} . We are asked to simplify this expression by combining like terms.
3. Like terms are terms that have the same variables and powers. The coefficients do not need to be the same.

STEP 2

Identify the like terms in the given expression. In this case, the like terms are 2x2-2x^{2} and x2-x^{2}.

STEP 3

Combine the like terms by adding or subtracting the coefficients.2x2x2-2x^{2} - x^{2}

STEP 4

Calculate the result of combining the like terms.
2x2x2=3x2-2x^{2} - x^{2} = -3x^{2}

STEP 5

Replace the like terms in the original expression with the result from the previous step.
7x3x2+37x -3x^{2} +3

STEP 6

Rearrange the terms in the expression to follow the standard form of a quadratic equation, which is ax2+bx+cax^{2} + bx + c.
3x2+x+3-3x^{2} +x +3The simplified expression is 3x2+x+3-3x^{2} +x +3.

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