Add the following expressions: x³y² + x²y³ +3y⁴ and x⁴ + 3x²y³ + 4y⁴
Solution:
Given, the expressions are x³y² + x²y³ +3y⁴ and x⁴ + 3x²y³ + 4y⁴
We have to add the expressions
On adding the expressions,
= x³y² + x²y³ +3y⁴ + (x⁴ + 3x²y³ + 4y⁴)
By combining like terms,
= x³y² + x²y³ + 3x²y³ +3y⁴ + 4y⁴ + x⁴
= x³y² + x²y³ + 3x²y³ +3y⁴ + 4y⁴ + x⁴
= x³y² + (1 + 3)x²y³ + (3 + 4)y⁴ + x⁴
= x³y² + 4x²y³ + 7y⁴ + x⁴
Therefore, the sum of the expressions is x³y² + 4x²y³ + 7y⁴ + x⁴.
✦ Try This: Add the following expressions: 3x³y² + 4x²y³ + 6y⁴ and x⁴ + 4x²y³ + 3y⁴
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 57 (e)
Add the following expressions: x³y² + x²y³ +3y⁴ and x⁴ + 3x²y³ + 4y⁴
Summary:
On adding the expressions x³y² + x²y³ +3y⁴ and x⁴ + 3x²y³ + 4y⁴, we get x³y² + 4x²y³ + 7y⁴ + x⁴
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