Question

simplify.
$(4xy^{3} + 7x - 3x^{2}y) + (x^{2}y - 2y^{2} + 5x)$

Explanation:

Step1: Remove parentheses

Remove the parentheses from the expression: \(4xy^{3}+7x - 3x^{2}y+x^{2}y - 2y^{2}+5x\)

Step2: Combine like terms

• For the \(x\) terms: \(7x + 5x=12x\)
• For the \(x^{2}y\) terms: \(-3x^{2}y+x^{2}y=-2x^{2}y\)
• The other terms \(4xy^{3}\) and \(-2y^{2}\) remain as they are since there are no like terms to combine with them.

So the simplified expression is: \(4xy^{3}+12x - 2x^{2}y-2y^{2}\)

Answer:

\(4xy^{3}+12x - 2x^{2}y-2y^{2}\)