What is (a^3-25a)/(2a^3+8a^2-10a) ?

The solution to (a^3-25a)/(2a^3+8a^2-10a) is (a-5)/(2(a-1))

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simplify (a^3-25a)/(2a^3+8a^2-10a)

simplify

\frac{a ^{3} - 25 a}{2 a ^{3} + 8 a ^{2} - 10 a}

\frac{a - 5}{2 ( a - 1 )}

Solution steps

\frac{a ^{3} - 25 a}{2 a ^{3} + 8 a ^{2} - 10 a}

Factor

a^{3} - 25 a : a (a + 5) (a - 5)

= \frac{a ( a + 5 ) ( a - 5 )}{2 a ^{3} + 8 a ^{2} - 10 a}

Factor

2 a^{3} + 8 a^{2} - 10 a : 2 a (a - 1) (a + 5)

= \frac{a ( a + 5 ) ( a - 5 )}{2 a ( a - 1 ) ( a + 5 )}

Cancel the common factor:

a

= \frac{( a + 5 ) ( a - 5 )}{2 ( a - 1 ) ( a + 5 )}

Cancel the common factor:

a + 5

= \frac{a - 5}{2 ( a - 1 )}

- 81 + - 28 + 1 - - 175

- b - b

5 \cdot 27

11 - 3

13 - 7

What is (a^3-25a)/(2a^3+8a^2-10a) ?
The solution to (a^3-25a)/(2a^3+8a^2-10a) is (a-5)/(2(a-1))