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Popular >

simplify (x^2+6x+9)/(x+3)

Solution

simplify

\frac{x ^{2} + 6 x + 9}{x + 3}

Solution

x + 3

Solution steps

\frac{x ^{2} + 6 x + 9}{x + 3}

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

= \frac{( x + 3 ) ^{2}}{x + 3}

Apply exponent rule:

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

(x + 3)^{2} = (x + 3) (x + 3)

= \frac{( x + 3 ) ( x + 3 )}{x + 3}

Cancel the common factor:

x + 3

= x + 3

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Frequently Asked Questions (FAQ)

What is (x^2+6x+9)/(x+3) ?
The solution to (x^2+6x+9)/(x+3) is x+3