What is (5x+7)/(x-2)-1/(x^2-9x+14) ?

The solution to (5x+7)/(x-2)-1/(x^2-9x+14) is (5x^2-28x-50)/((x-2)(x-7))

Popular >

simplify (5x+7)/(x-2)-1/(x^2-9x+14)

simplify

\frac{5 x + 7}{x - 2} - \frac{1}{x ^{2} - 9 x + 14}

\frac{5 x ^{2} - 28 x - 50}{( x - 2 ) ( x - 7 )}

Solution steps

\frac{5 x + 7}{x - 2} - \frac{1}{x ^{2} - 9 x + 14}

Least Common Multiplier of

x - 2, x^{2} - 9 x + 14 : (x - 2) (x - 7)

Adjust Fractions based on the LCM

= \frac{( 5 x + 7 ) ( x - 7 )}{( x - 2 ) ( x - 7 )} - \frac{1}{( x - 2 ) ( x - 7 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{( 5 x + 7 ) ( x - 7 ) - 1}{( x - 2 ) ( x - 7 )}

Simplify

(5 x + 7) (x - 7) - 1 : 5 x^{2} - 28 x - 50

= \frac{5 x ^{2} - 28 x - 50}{( x - 2 ) ( x - 7 )}

1 e^{1}

\frac{9}{x ^{2} - 12 x + 36} + \frac{x}{x ^{2} - 36}

125 a^{3} + 1

\frac{d - 2}{d ^{2} - 4} + \frac{4}{d ^{2} + 4 d + 4}

\frac{\frac{1}{x ^{2}}}{\frac{1}{x}}

What is (5x+7)/(x-2)-1/(x^2-9x+14) ?
The solution to (5x+7)/(x-2)-1/(x^2-9x+14) is (5x^2-28x-50)/((x-2)(x-7))