Math

QuestionSimplify the expression by combining like terms: 2x+3y252y2+3x+3-2x + 3y^2 - 5 - 2y^2 + 3x + 3.

Studdy Solution

STEP 1

Assumptions1. The given algebraic expression is x+3y5y+3x+3-x +3y^{} -5 -y^{} +3x +3 . Like terms are terms that have the same variables and powers. The coefficients do not need to match.
3. The goal is to simplify the expression by combining like terms.

STEP 2

Identify the like terms in the expression.The like terms are 2x-2x and xx, y2y^{2} and 2y2-2y^{2}, and 5-5 and $$.

STEP 3

Combine the like terms 2x-2x and 3x3x.
2x+3x=x-2x +3x = x

STEP 4

Combine the like terms 3y23y^{2} and 2y2-2y^{2}.
3y22y2=y23y^{2} -2y^{2} = y^{2}

STEP 5

Combine the like terms 5-5 and 33.
5+3=2-5 +3 = -2

STEP 6

Now, replace the original like terms in the expression with their combined forms.
The original expression 2x+3y252y2+3x+3-2x +3y^{2} -5 -2y^{2} +3x +3 becomes x+y22x + y^{2} -2.
So, the simplified algebraic expression is x+y22x + y^{2} -2.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord