What is (4x^2+6yx-2x-3y)/(1-2x) ?

The solution to (4x^2+6yx-2x-3y)/(1-2x) is -2x-3y

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simplify (4x^2+6yx-2x-3y)/(1-2x)

simplify

\frac{4 x ^{2} + 6 y x - 2 x - 3 y}{1 - 2 x}

- 2 x - 3 y

Solution steps

\frac{4 x ^{2} + 6 y x - 2 x - 3 y}{1 - 2 x}

Factor

4 x^{2} + 6 x y - 2 x - 3 y : (2 x + 3 y) (2 x - 1)

= \frac{( 2 x + 3 y ) ( 2 x - 1 )}{1 - 2 x}

1 - 2 x = - (2 x - 1)

= \frac{( 2 x + 3 y ) ( 2 x - 1 )}{- ( 2 x - 1 )}

Cancel the common factor:

2 x - 1

= \frac{2 x + 3 y}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (2 x + 3 y)

Simplify

- (2 x + 3 y) : - 2 x - 3 y

= - 2 x - 3 y

2 x^{2} + 6 x^{2}

3 \frac{2}{3} - 1 \frac{1}{3}

9 b^{3} + 36 b^{2} - 4 b - 16

50 x^{2} y^{- 4}

(- 1)^{11}

What is (4x^2+6yx-2x-3y)/(1-2x) ?
The solution to (4x^2+6yx-2x-3y)/(1-2x) is -2x-3y