What is (2x^2+5x-3)/(1-2x) ?

The solution to (2x^2+5x-3)/(1-2x) is -x-3

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simplify (2x^2+5x-3)/(1-2x)

simplify

\frac{2 x ^{2} + 5 x - 3}{1 - 2 x}

- x - 3

Solution steps

\frac{2 x ^{2} + 5 x - 3}{1 - 2 x}

Factor

2 x^{2} + 5 x - 3 : (2 x - 1) (x + 3)

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

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

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

Cancel the common factor:

2 x - 1

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

Apply the fraction rule:

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

= - (x + 3)

Simplify

- (x + 3) : - x - 3

= - x - 3

(- 2 x + 5 y)^{4}

5 x^{2} + 7 x^{2}

(9 + 5 i) - (8 - 10 i)

(a^{2} + 2)^{3}

- 4 i (2 + 3 i)