Math

QuestionCombine like terms in the expression: x+5y242y22x+3-x + 5y^{2} - 4 - 2y^{2} - 2x + 3.

Studdy Solution

STEP 1

Assumptions1. The given expression is x+5y4yx+3-x+5 y^{}-4- y^{}- x+3 . We need to simplify the expression by combining like terms3. Like terms are terms that have the same variables and powers. The coefficients do not need to be the same.

STEP 2

First, identify the like terms in the expression. In this case, the like terms are x-x and 2x-2x, and 5y25y^{2} and 2y2-2y^{2}.

STEP 3

Next, combine the like terms by adding or subtracting their coefficients.
For the xx termsx2x-x -2xFor the y2y^{2} terms5y22y25y^{2} -2y^{2}

STEP 4

Calculate the new coefficients for the xx and y2y^{2} terms.
For the xx termsx2x=3x-x -2x = -3xFor the y2y^{2} termsy22y2=3y2y^{2} -2y^{2} =3y^{2}

STEP 5

Now, combine the constant terms in the expression. In this case, the constant terms are 4-4 and 33.
4+3-4 +3

STEP 6

Calculate the new constant term.
4+3=1-4 +3 = -1

STEP 7

Finally, write the simplified expression by combining the new terms.
3x+3y21-3x +3y^{2} -1The simplified expression is 3x+3y21-3x +3y^{2} -1.

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