Simplify \frac{3x - 12x {y}^(2) }{6 - 3y - 18 {y}^(2) }

asked Jan 12, 2021 216k views

5 votes

Simplify

$\frac{3x - 12x {y}^(2) }{6 - 3y - 18 {y}^(2) }$

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3 votes

Answer:

(2xy+x)/(3y+2)

Explanation:

Factor numerator and denominator and cancel common factors.

$(3x-12xy^2)/(6-3y-18y^2)=(-3x(4y^2-1))/(-3(6y^2+y-2))=(x(2y-1)(2y+1))/((2y-1)(3y+2))\\\\=\boxed{(2xy+x)/(3y+2)}$

Steve Fan answered Jan 19, 2021

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