Question

simplify.
(4xy² + 2x²y - y) - (-7x²y - 5xy² + 6y)

Explanation:

Step1: Distribute the negative sign

We need to distribute the negative sign to each term inside the second parentheses. So, \((4xy^{2}+2x^{2}y - y)-(-7x^{2}y - 5xy^{2}+6y)=4xy^{2}+2x^{2}y - y + 7x^{2}y+5xy^{2}-6y\)

Step2: Combine like terms

• For the \(xy^{2}\) terms: \(4xy^{2}+5xy^{2} = 9xy^{2}\)
• For the \(x^{2}y\) terms: \(2x^{2}y + 7x^{2}y=9x^{2}y\)
• For the \(y\) terms: \(-y-6y=-7y\)

Putting it all together, we get \(9xy^{2}+9x^{2}y - 7y\)

Answer:

\(9xy^{2}+9x^{2}y - 7y\)