What is (a^2-25)/(a^3+125) ?

The solution to (a^2-25)/(a^3+125) is (a-5)/(a^2-5a+25)

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simplify (a^2-25)/(a^3+125)

simplify

\frac{a ^{2} - 25}{a ^{3} + 125}

\frac{a - 5}{a ^{2} - 5 a + 25}

Solution steps

\frac{a ^{2} - 25}{a ^{3} + 125}

Factor

a^{2} - 25 : (a + 5) (a - 5)

= \frac{( a + 5 ) ( a - 5 )}{a ^{3} + 125}

Factor

a^{3} + 125 : (a + 5) (a^{2} - 5 a + 25)

= \frac{( a + 5 ) ( a - 5 )}{( a + 5 ) ( a ^{2} - 5 a + 25 )}

Cancel the common factor:

a + 5

= \frac{a - 5}{a ^{2} - 5 a + 25}

8 x^{3} y + 38 x^{2} y - 10 x y

x + 3 = x - 2

(2 y - 1)^{2} + (2 y + 1)^{2} = (2 y)^{2} + 6

(- 6 p^{2} q^{3})^{2}

4 x^{2} + 32 x

What is (a^2-25)/(a^3+125) ?
The solution to (a^2-25)/(a^3+125) is (a-5)/(a^2-5a+25)