Subtract x³y² + 3x²y² - 7xy³ from x⁴ + y⁴ + 3x²y² - xy³
Solution:
Given, the expressions are x³y² + 3x²y² - 7xy³ and x⁴ + y⁴ + 3x²y² - xy³.
We have to subtract the expressions
On subtracting the expressions,
= x⁴ + y⁴ + 3x²y² - xy³ - (x³y² + 3x²y² - 7xy³)
= x⁴ + y⁴ + 3x²y² - xy³ - x³y² - 3x²y² + 7xy³
By combining the like terms,
= x⁴ + y⁴ + 3x²y² - 3x²y² - xy³ + 7xy³ - x³y²
= x⁴ + y⁴ + (3 - 3)x²y² + (-1 + 7)xy³ - x³y²
= x⁴ + y⁴ + (0)x²y² + (6)xy³ - x³y²
= x⁴ + y⁴ + 6xy³ - x³y²
Therefore, the required expression is x⁴ + y⁴ + 6xy³ - x³y².
✦ Try This: Subtract 2x³y² + 4x²y² - 8xy³ from 2x⁴ + 2y⁴ + 4x²y² - 2xy³
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 58 (g)
Subtract x³y² + 3x²y² - 7xy³ from x⁴ + y⁴ + 3x²y² - xy³
Summary:
On subtracting x³y² + 3x²y² - 7xy³ from x⁴ + y⁴ + 3x²y² - xy³, we get x⁴ + y⁴ + 6xy³ - x³y²
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