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Addition and Subtraction of Algebraic Expressions

e Add the fol...

Question

Question 57 (e)

Add the following expression:

$x^{3} y^{2} + x^{2} y^{3} + 3 y^{4} a n d x^{4} + 3 x^{2} y^{3} + 4 y^{4}$

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Solution

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

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Question 57 (f)

Add the following expression:

$p^{2} q r + p q^{2} r + p q r^{2} a n d - 3 p q^{2} r - 2 p q r^{2}$

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Add the following expression:

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Addition and Subtraction of Algebraic Expressions

Standard VII Mathematics

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