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Popular >

simplify (a^2+10a+25)/(a+5)

Solution

simplify

\frac{a ^{2} + 10 a + 25}{a + 5}

Solution

a + 5

Solution steps

\frac{a ^{2} + 10 a + 25}{a + 5}

Factor

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

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

Cancel the common factor:

a + 5

= a + 5

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Frequently Asked Questions (FAQ)

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