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Addition and Subtraction of Algebraic Expressions

State whether...

Question

Question 45

State whether the statement given is True or False.

Sum of $x^{2} + x$ and $y + y^{2}$ is $2 x^{2} + 2 y^{2}$ .

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Solution

False
$∵ R e q u i r e d s u m = (x^{2} + x) + (y + y^{2})$
$= x^{2} + x + y + y^{2}$
$= x^{2} + y^{2} + x + y$
It is not equal to $2 x^{2} + 2 y^{2}$ .

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