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Popular >

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

Solution

simplify

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

Solution

x + 5

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

= \frac{( x + 5 ) ( x + 5 )}{x + 5}

Cancel the common factor:

x + 5

= x + 5

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Frequently Asked Questions (FAQ)

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