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Addition and Subtraction of Algebraic Expressions

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Question

Question 27

Fill in the blanks to make the statement true.

If $(x^{2} y + y^{2} + 3)$ is subtracted from $(3 x^{2} y + 2 y^{2} + 5)$ , then coefficient of y in the result is___.

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Solution

We have, $(3 x^{2} y + 2 y^{2} + 5) - (x^{2} y + y^{2} + 3) = 3 x^{2} y + 2 y^{2} + 5 - x^{2} y - y^{2} - 3 = 2 x^{2} y + y^{2} + 2$
$∴$ Coefficient of $y = 2 x^{2}$

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(x^{2} y + y^{2} + 3)

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