What is 1/(a-6)*(8a+80)/8 ?

The solution to 1/(a-6)*(8a+80)/8 is (a+10)/(a-6)

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simplify 1/(a-6)*(8a+80)/8

simplify

\frac{1}{a - 6} \cdot \frac{8 a + 80}{8}

\frac{a + 10}{a - 6}

Solution steps

\frac{1}{a - 6} \cdot \frac{8 a + 80}{8}

Cancel

\frac{8 a + 80}{8} : a + 10

= \frac{1}{a - 6} (a + 10)

Apply the fraction rule:

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

= \frac{1 \cdot ( a + 10 )}{a - 6}

Apply rule:

1 \cdot a = a

1 \cdot (a + 10) = (a + 10)

= \frac{a + 10}{a - 6}

(x + 3) (3 x^{2} + 8 x + 9)

\frac{\frac{5}{8} + \frac{3}{4}}{\frac{- 2}{3} - \frac{5}{6}}

2 \cdot 1 0^{- 10}

(5 y^{2} + 3 y) + (5 y - \frac{1}{4} y^{2}) + (\frac{1}{3} y^{2} + y)