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Addition and Subtraction of Algebraic Expression

Simplify: y...

Question

Simplify: $y {(x - 2 y)}^{2} - 13 + 4 (x - 1)$

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Solution

Given: $y (x - 2 y)^{2} - 13 + 4 (x - 1)$

$= y (x^{2} - 4 x y + 4 y^{2}) - 13 + 4 x - 4$

$= x^{2} y - 4 x y^{2} + 4 y^{3} - 13 + 4 x - 4$

$= 4 y^{3} - 4 x y^{2} + x^{2} y + 4 x - 17$ .

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