Question

Add

I need accurate answer​

Answer 1

Given:

• x³ - x²y + 5xy² + y³
• -x³ - 9xy² + y³
• 3x²y + 9xy²

What to do?

We have to add the given expressions.

How to do?

First remove the brackets then rearrange the like terms according to their degree and solve the like terms.

Solution:

(x³ - x²y + 5xy² + y³) + (-x³ - 9xy² + y³) + (3x²y + 9xy²)

Remove the brackets,

⇒ x³ - x²y + 5xy² + y³ - x³ - 9xy² + y³ + 3x²y + 9xy²

Rearrange the like terms,

⇒ x³ - x³ + y³ + y³ - x²y + 3x²y + 5xy² - 9xy² + 9xy²

Solve the like terms,

⇒ 2y³ + 2x²y + 5xy²

∴ So, the sum of these expressions is 2y³ + 2x²y + 5xy².