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Addition and Subtraction of Algebraic Expressions

d Subtract: x...

Question

Question 58 (d)

Subtract:

$x^{4} + 3 x^{3} y^{3} + 5 y^{4}$ from $2 x^{4} - x^{3} y^{3} + 7 y^{4} .$

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Solution

We have,
$2 x^{4} - x^{3} y^{3} + 7 y^{4} - (x^{4} + 3 x^{3} y^{3} + 5 y^{4}) = 2 x^{4} - x^{3} y^{3} + 7 y^{4} - x^{4} - 3 x^{3} y^{3} - 5 y^{4}$
On combining the like terms,
$= 2 x^{4} - x^{4} - x^{3} y^{3} - 3 x^{3} y^{3} + 7 y^{4} - 5 y^{4} = x^{4} - 4 x^{3} y^{3} + 2 y^{4}$

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Similar questions

Q. Subtract:
5y⁴− 3y³ + 2y² + y − 1 from 4y⁴ − 2y³ − 6y² − y + 5

Q. Question 2(ii)
Divide the given polynomial by the given monomial

(3 y^{8} - 4 y^{6} + 5 y^{4}) \div y^{4}

(2 x^{2} + 3 y^{2}) : (2 x^{2} - 3 y^{2}) = 11 : 5

, find the value of

(5 x^{4} + 7 y^{4}) : (5 x^{4} - 7 y^{4})

.

Divide the given polynomial by the given monomial
$(3 y^{8} - 4 y^{6} + 5 y^{4}) \div y^{4}$

Q. 7y⁴ – 25y² + 12 = 0

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Addition and Subtraction of Algebraic Expressions

Standard VII Mathematics

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