What is (1/(a^2-a-30))/(2/(a^2+a-42)) ?

The solution to (1/(a^2-a-30))/(2/(a^2+a-42)) is (a+7)/(2(a+5))

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simplify (1/(a^2-a-30))/(2/(a^2+a-42))

simplify

\frac{\frac{1}{a ^{2} - a - 30}}{\frac{2}{a ^{2} + a - 42}}

\frac{a + 7}{2 ( a + 5 )}

Solution steps

\frac{\frac{1}{a ^{2} - a - 30}}{\frac{2}{a ^{2} + a - 42}}

Apply the fraction rule:

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

= \frac{1 \cdot ( a ^{2} + a - 42 )}{( a ^{2} - a - 30 ) \cdot 2}

Apply rule:

1 \cdot a = a

= \frac{a ^{2} + a - 42}{( a ^{2} - a - 30 ) \cdot 2}

Cancel

\frac{a ^{2} + a - 42}{( a ^{2} - a - 30 ) \cdot 2} : \frac{a + 7}{( a + 5 ) \cdot 2}

= \frac{a + 7}{( a + 5 ) \cdot 2}

= \frac{a + 7}{2 ( a + 5 )}

\frac{12}{5 x} - \frac{7}{6 x}

(s - 3)^{4}

4 x^{3} - 5 x^{2} - 64 x + 80

3364

3375

What is (1/(a^2-a-30))/(2/(a^2+a-42)) ?
The solution to (1/(a^2-a-30))/(2/(a^2+a-42)) is (a+7)/(2(a+5))