Subtract x⁴ + 3x³y³ + 5y⁴ from 2x⁴ - x³y³ + 7y⁴

Solution:

Given, the expressions are x⁴ + 3x³y³ + 5y⁴ and 2x⁴ - x³y³ + 7y⁴.

We have to subtract the expressions

On subtracting the expressions,

= 2x⁴ - x³y³ + 7y⁴ - (x⁴ + 3x³y³ + 5y⁴)

By combining the like terms,

= 2x⁴ - x⁴ - x³y³ - 3x³y³ +7y⁴ - 5y⁴

By distributive property,

= (2 - 1)x⁴ + (-1 - 3)x³y³ + (7 - 5)y⁴

= (1)x⁴ + (-4)x³y³ + (2)y⁴

= x⁴ - 4x³y³ + 2y⁴

Therefore, the required expression is x⁴ - 4x³y³ + 2y⁴.

✦ Try This: Subtract 2x⁴ + 4x³y³ + 6y⁴ from 3x⁴ - 2x³y³ + 9y⁴

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 58 (d)

Subtract x⁴ + 3x³y³ + 5y⁴ from 2x⁴ - x³y³ + 7y⁴

Summary:

On subtracting x⁴ + 3x³y³ + 5y⁴ from 2x⁴ - x³y³ + 7y⁴, we get x⁴ - 4x³y³ + 2y⁴

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