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Addition and Subtraction of Algebraic Expression

Simplify 4x...

Question

Simplify $4 x^{2} + 7 - (x^{2} y + 3 - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 x^{2} y + 2)$

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Solution

Consider the given expression.

$4 x^{2} + 7 - (x^{2} y + 3 - ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 2 x^{2} y + 2)$

$= 4 x^{2} + 7 - (x^{2} y + 3 - (- (2 x^{2} y + 2)))$

$= 4 x^{2} + 7 - (x^{2} y + 3 + 2 x^{2} y + 2)$

$= 4 x^{2} + 7 - (3 x^{2} y + 5)$

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

$= 4 x^{2} - 3 x^{2} y + 2$

Hence, this is the answer.

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