What is 3/(x+h)-3/x ?

The solution to 3/(x+h)-3/x is -(3h)/(x(x+h))

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simplify 3/(x+h)-3/x

simplify

\frac{3}{x + h} - \frac{3}{x}

- \frac{3 h}{x ( x + h )}

Solution steps

\frac{3}{x + h} - \frac{3}{x}

Least Common Multiplier of

x + h, x : x (x + h)

Adjust Fractions based on the LCM

= \frac{3 x}{x ( x + h )} - \frac{3 ( x + h )}{x ( x + h )}

Apply the fraction rule:

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

= \frac{3 x - 3 ( x + h )}{x ( x + h )}

Simplify

3 x - 3 (x + h) : - 3 h

= \frac{- 3 h}{x ( x + h )}

Apply the fraction rule:

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

= - \frac{3 h}{x ( x + h )}

7 y^{2} - 20 y - 3

514

x^{2} - 2 x + 3

a^{2} + 9 a + 20 = 0

- \frac{0.9 ( 5 )}{( 0.01 ( 5 ) ^{2} + 1 ) ^{2}}