Add the following expressions: x³ - x²y - xy² - y³ and x³ - 2x²y + 3xy² + 4y
Solution:
Given, the expressions are x³ - x²y - xy² - y³ and x³ - 2x²y + 3xy² + 4y
We have to add the expressions
On adding the expressions,
= x³ - x²y - xy² - y³ + (x³ - 2x²y + 3xy² + 4y)
By combining like terms,
= x³ + x³ - x²y - 2x²y - xy² + 3xy² - y³ + 4y
= (1 + 1)x³ + (-1 - 2)x²y + (-1 + 3)xy² - y³ + 4y
= (2)x³ + (-3)x²y + (2)xy² - y³ + 4y
= 2x³ - 3x²y + 2xy² - y³ + 4y
Therefore, the sum of the expressions is 2x³ - 3x²y + 2xy² - y³ + 4y.
✦ Try This: Add the following expressions: 2x³ - 3x²y - 4xy² - 5y³ and 4x³ - 2x²y + 5xy² + 3y
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (b)
Add the following expressions: x³ - x²y - xy² - y³ and x³ - 2x²y + 3xy² + 4y
Summary:
On adding the expressions x³ - x²y - xy² - y³ and x³ - 2x²y + 3xy² + 4y, we get 2x³ - 3x²y + 2xy² - y³ + 4y.
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