What is (11)/(x+h-7)-(11)/(x-7) ?

The solution to (11)/(x+h-7)-(11)/(x-7) is -(11h)/((x-7)(x+h-7))

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simplify (11)/(x+h-7)-(11)/(x-7)

simplify

\frac{11}{x + h - 7} - \frac{11}{x - 7}

- \frac{11 h}{( x - 7 ) ( x + h - 7 )}

Solution steps

\frac{11}{x + h - 7} - \frac{11}{x - 7}

Least Common Multiplier of

x + h - 7, x - 7 : (x - 7) (x + h - 7)

Adjust Fractions based on the LCM

= \frac{11 ( x - 7 )}{( x - 7 ) ( x + h - 7 )} - \frac{11 ( x + h - 7 )}{( x - 7 ) ( x + h - 7 )}

Apply the fraction rule:

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

= \frac{11 ( x - 7 ) - 11 ( x + h - 7 )}{( x - 7 ) ( x + h - 7 )}

Simplify

11 (x - 7) - 11 (x + h - 7) : - 11 h

= \frac{- 11 h}{( x - 7 ) ( x + h - 7 )}

Apply the fraction rule:

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

= - \frac{11 h}{( x - 7 ) ( x + h - 7 )}

2^{3} \cdot 2^{- 5}

(\frac{e ^{t}}{y})^{2}

- 8 + 8

\frac{25 !}{7 ! 6 ! 5 ! 4 ! 3 !}

9 0^{2} + 9 0^{2}

What is (11)/(x+h-7)-(11)/(x-7) ?
The solution to (11)/(x+h-7)-(11)/(x-7) is -(11h)/((x-7)(x+h-7))