Simplify the expression by combining the like terms: 7x³ - 3x²y + xy² + x²y - y³.
Solution:
Given, the expression is 7x³ - 3x²y + xy² + x²y - y³.
We have to simplify the expression by combining the like terms.
The terms with the same algebraic factors are called like terms.
From the given expression,
Like terms = -3x²y + x²y
Rearranging the expression by combining the like terms,
= 7x³ - 3x²y + x²y + xy² - y³
= 7x³ + (-3+1) x²y + xy² - y³
= 7x³ + (-2)x²y + xy² - y³
= 7x³ - 2x²y + xy² - y³
Therefore, the simplified expression is 7x³ - 2x²y + xy² - y³.
✦ Try This: Simplify the expression by combining the like terms: 8x³ + 3x²y + 3xy² + 2x²y - y³.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Sample Problem 13
Simplify the expression by combining the like terms: 7x³ - 3x²y + xy² + x²y - y³.
Summary:
The simplified form of the expression 7x³ - 3x²y + xy² + x²y - y³ by combining the like terms is 7x³ - 2x²y + xy² - y³.
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