What is 3/(b-8)+7/(b+3) ?

The solution to 3/(b-8)+7/(b+3) is (10b-47)/((b-8)(b+3))

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simplify 3/(b-8)+7/(b+3)

simplify

\frac{3}{b - 8} + \frac{7}{b + 3}

\frac{10 b - 47}{( b - 8 ) ( b + 3 )}

Solution steps

\frac{3}{b - 8} + \frac{7}{b + 3}

Least Common Multiplier of

b - 8, b + 3 : (b - 8) (b + 3)

Adjust Fractions based on the LCM

= \frac{3 ( b + 3 )}{( b - 8 ) ( b + 3 )} + \frac{7 ( b - 8 )}{( b - 8 ) ( b + 3 )}

Apply the fraction rule:

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

= \frac{3 ( b + 3 ) + 7 ( b - 8 )}{( b - 8 ) ( b + 3 )}

Simplify

3 (b + 3) + 7 (b - 8) : 10 b - 47

= \frac{10 b - 47}{( b - 8 ) ( b + 3 )}

(x^{2})^{\frac{3}{2}}

2^{k} \geq 125

\frac{( 2 x - 1 ) ( x + 4 )}{x - 4} > 0

2 > - 3 - 3 x \geq - 7

5 t^{2} - 6 t - 11 = 0

What is 3/(b-8)+7/(b+3) ?
The solution to 3/(b-8)+7/(b+3) is (10b-47)/((b-8)(b+3))