What is (7a)/(a^2-p^2)-1/(a-p) ?

The solution to (7a)/(a^2-p^2)-1/(a-p) is (6a-p)/(a^2-p^2)

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simplify (7a)/(a^2-p^2)-1/(a-p)

simplify

\frac{7 a}{a ^{2} - p ^{2}} - \frac{1}{a - p}

\frac{6 a - p}{a ^{2} - p ^{2}}

Solution steps

\frac{7 a}{a ^{2} - p ^{2}} - \frac{1}{a - p}

Least Common Multiplier of

a^{2} - p^{2}, a - p : (a - p) (a^{2} - p^{2})

Adjust Fractions based on the LCM

= \frac{7 a ( a - p )}{( a - p ) ( a ^{2} - p ^{2} )} - \frac{a ^{2} - p ^{2}}{( a - p ) ( a ^{2} - p ^{2} )}

Apply the fraction rule:

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

= \frac{7 a ( a - p ) - ( a ^{2} - p ^{2} )}{( a - p ) ( a ^{2} - p ^{2} )}

Simplify

7 a (a - p) - (a^{2} - p^{2}) : 6 a^{2} - 7 a p + p^{2}

= \frac{6 a ^{2} - 7 a p + p ^{2}}{( a - p ) ( a ^{2} - p ^{2} )}

Cancel

\frac{6 a ^{2} - 7 a p + p ^{2}}{( a - p ) ( a ^{2} - p ^{2} )} : \frac{6 a - p}{a ^{2} - p ^{2}}

= \frac{6 a - p}{a ^{2} - p ^{2}}

13 = \frac{r}{9} + 8

\frac{3 ^{- 2}}{9 ^{0}}

2 ∣ 3 x - 1 ∣ + 5 = 19

- 5112

3 9^{2} + 8 0^{2} = c^{2}

What is (7a)/(a^2-p^2)-1/(a-p) ?
The solution to (7a)/(a^2-p^2)-1/(a-p) is (6a-p)/(a^2-p^2)