What is 1/(x+h+1)-1/(x+1) ?

The solution to 1/(x+h+1)-1/(x+1) is -h/((x+1)(x+h+1))

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simplify 1/(x+h+1)-1/(x+1)

simplify

\frac{1}{x + h + 1} - \frac{1}{x + 1}

- \frac{h}{( x + 1 ) ( x + h + 1 )}

Solution steps

\frac{1}{x + h + 1} - \frac{1}{x + 1}

Least Common Multiplier of

x + h + 1, x + 1 : (x + 1) (x + h + 1)

Adjust Fractions based on the LCM

= \frac{x + 1}{( x + 1 ) ( x + h + 1 )} - \frac{x + h + 1}{( x + 1 ) ( x + h + 1 )}

Apply the fraction rule:

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

= \frac{x + 1 - ( x + h + 1 )}{( x + 1 ) ( x + h + 1 )}

Simplify

x + 1 - (x + h + 1) : - h

= \frac{- h}{( x + 1 ) ( x + h + 1 )}

Apply the fraction rule:

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

= - \frac{h}{( x + 1 ) ( x + h + 1 )}

lo g_{3} (64)

1 0^{2} + 6^{2} = x^{2}

- 2 \cdot - 50

- 4 x + 30 = 23 (x + 33)

9 x^{2} - 9 x - 4

What is 1/(x+h+1)-1/(x+1) ?
The solution to 1/(x+h+1)-1/(x+1) is -h/((x+1)(x+h+1))