What is 7/(a+8)+7/(a^2-64) ?

The solution to 7/(a+8)+7/(a^2-64) is (7a-49)/((a+8)(a-8))

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simplify 7/(a+8)+7/(a^2-64)

simplify

\frac{7}{a + 8} + \frac{7}{a ^{2} - 64}

\frac{7 a - 49}{( a + 8 ) ( a - 8 )}

Solution steps

\frac{7}{a + 8} + \frac{7}{a ^{2} - 64}

Least Common Multiplier of

a + 8, a^{2} - 64 : (a + 8) (a - 8)

Adjust Fractions based on the LCM

= \frac{7 ( a - 8 )}{( a + 8 ) ( a - 8 )} + \frac{7}{( a + 8 ) ( a - 8 )}

Apply the fraction rule:

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

= \frac{7 ( a - 8 ) + 7}{( a + 8 ) ( a - 8 )}

Simplify

7 (a - 8) + 7 : 7 a - 49

= \frac{7 a - 49}{( a + 8 ) ( a - 8 )}

4 x^{2} + 28 x + 49

9 x^{2} + 12 x + 4

2 x^{2} + x = 15

\frac{5}{3} r + \frac{4}{3} = - \frac{8}{9}

5 x^{2} + 3 x y - 2 y^{2}

What is 7/(a+8)+7/(a^2-64) ?
The solution to 7/(a+8)+7/(a^2-64) is (7a-49)/((a+8)(a-8))