What is 4/(9x^2-45x)-(6x)/(x^2-25) ?

The solution to 4/(9x^2-45x)-(6x)/(x^2-25) is (4x+20-54x^2)/(9x(x-5)(x+5))

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simplify 4/(9x^2-45x)-(6x)/(x^2-25)

simplify

\frac{4}{9 x ^{2} - 45 x} - \frac{6 x}{x ^{2} - 25}

\frac{4 x + 20 - 54 x ^{2}}{9 x ( x - 5 ) ( x + 5 )}

Solution steps

\frac{4}{9 x ^{2} - 45 x} - \frac{6 x}{x ^{2} - 25}

Least Common Multiplier of

9 x^{2} - 45 x, x^{2} - 25 : 9 x (x - 5) (x + 5)

Adjust Fractions based on the LCM

= \frac{4 ( x + 5 )}{9 x ( x - 5 ) ( x + 5 )} - \frac{54 x ^{2}}{9 x ( x - 5 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{4 ( x + 5 ) - 54 x ^{2}}{9 x ( x - 5 ) ( x + 5 )}

Simplify

4 (x + 5) - 54 x^{2} : 4 x + 20 - 54 x^{2}

= \frac{4 x + 20 - 54 x ^{2}}{9 x ( x - 5 ) ( x + 5 )}

3 6^{0.5}

a (a - x) + 3 a (x + 2 a) - a (x - 3 a)

(\frac{x ^{\frac{1}{2}}}{2} - \frac{1}{2 x})^{2}

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

(- 1)^{2} + (- 1)^{2}

What is 4/(9x^2-45x)-(6x)/(x^2-25) ?
The solution to 4/(9x^2-45x)-(6x)/(x^2-25) is (4x+20-54x^2)/(9x(x-5)(x+5))