Question

Combine the like terms to simplify the expression: 5 + 7 + 15xy^2 + 9y^3 + 10x –13xy^2 – 3x – 8y^3. A. y^6 + 2x^2y^2 + 10x + 12 B. y^3 + 2xy^2 + 7x + 12 C. y^3 + 2xy^2 + 10x + 1 D. y^3 –2xy^2 + 10x + 15

Answer 1

It is important to remember that in simplifying expressions, you can only add or subtract like terms. Also, you have to follow PEMDAS. For the expression, 

5 + 7 + 15xy^2 + 9y^3 + 10x –13xy^2 – 3x – 8y^3

We can combine all the constants, xy^2 terms, y^3 terms and x terms which will yield,

12 + 2xy^2 + y^3 + 7x

Therefore the correct answer is option B.