What is 7/(2x^2+18x)-(5x)/(x^2+17x+72) ?

The solution to 7/(2x^2+18x)-(5x)/(x^2+17x+72) is (7x+56-10x^2)/(2x(x+9)(x+8))

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simplify 7/(2x^2+18x)-(5x)/(x^2+17x+72)

simplify

\frac{7}{2 x ^{2} + 18 x} - \frac{5 x}{x ^{2} + 17 x + 72}

\frac{7 x + 56 - 10 x ^{2}}{2 x ( x + 9 ) ( x + 8 )}

Solution steps

\frac{7}{2 x ^{2} + 18 x} - \frac{5 x}{x ^{2} + 17 x + 72}

Least Common Multiplier of

2 x^{2} + 18 x, x^{2} + 17 x + 72 : 2 x (x + 9) (x + 8)

Adjust Fractions based on the LCM

= \frac{7 ( x + 8 )}{2 x ( x + 9 ) ( x + 8 )} - \frac{10 x ^{2}}{2 x ( x + 9 ) ( x + 8 )}

Apply the fraction rule:

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

= \frac{7 ( x + 8 ) - 10 x ^{2}}{2 x ( x + 9 ) ( x + 8 )}

Simplify

7 (x + 8) - 10 x^{2} : 7 x + 56 - 10 x^{2}

= \frac{7 x + 56 - 10 x ^{2}}{2 x ( x + 9 ) ( x + 8 )}

\frac{\frac{7}{6 x}}{\frac{7}{12 x}}

2 + x - x^{2}

\frac{- 3 x ^{2}}{4 x + 9} - \frac{- 4 x ^{2}}{4 x + 9}

(x^{7})^{3}

2 - 5 \cdot 2 + 6^{2} + 9 - 2^{3}

What is 7/(2x^2+18x)-(5x)/(x^2+17x+72) ?
The solution to 7/(2x^2+18x)-(5x)/(x^2+17x+72) is (7x+56-10x^2)/(2x(x+9)(x+8))