What is 7/(x^2+2x-35)-(5x)/(x+7) ?

The solution to 7/(x^2+2x-35)-(5x)/(x+7) is (7-5x^2+25x)/((x-5)(x+7))

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simplify 7/(x^2+2x-35)-(5x)/(x+7)

simplify

\frac{7}{x ^{2} + 2 x - 35} - \frac{5 x}{x + 7}

\frac{7 - 5 x ^{2} + 25 x}{( x - 5 ) ( x + 7 )}

Solution steps

\frac{7}{x ^{2} + 2 x - 35} - \frac{5 x}{x + 7}

Least Common Multiplier of

x^{2} + 2 x - 35, x + 7 : (x - 5) (x + 7)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

7 - 5 x (x - 5) : 7 - 5 x^{2} + 25 x

= \frac{7 - 5 x ^{2} + 25 x}{( x - 5 ) ( x + 7 )}

7 (1 - 8 n)

(4 x^{2} - 7 x + 3) (4 x - 5)

∣ (2 + 3 i) + (6 - 2 i) ∣

mn \cdot (- m^{5} n^{3}) \cdot (- m^{3} n^{8})

4 \cdot 1 0^{- 6}

What is 7/(x^2+2x-35)-(5x)/(x+7) ?
The solution to 7/(x^2+2x-35)-(5x)/(x+7) is (7-5x^2+25x)/((x-5)(x+7))