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

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

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

simplify

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

\frac{a + 5}{a - 5}

Solution steps

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

Factor

a^{2} + 10 a + 25 : (a + 5)^{2}

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a + 5)^{2} = (a + 5) (a + 5)

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

Cancel the common factor:

a + 5

= \frac{a + 5}{a - 5}

lo g_{121} (11)

45 + 125

- y^{3} + y

\frac{3}{4} (8 x - 12) = 5 x - 9

\frac{3 + 1}{3 - 1}

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