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Popular >

simplify (9x^2+6x+1)/(3x+1)

Solution

simplify

\frac{9 x ^{2} + 6 x + 1}{3 x + 1}

Solution

3 x + 1

Solution steps

\frac{9 x ^{2} + 6 x + 1}{3 x + 1}

Factor

9 x^{2} + 6 x + 1 : (3 x + 1)^{2}

= \frac{( 3 x + 1 ) ^{2}}{3 x + 1}

Apply exponent rule:

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

(3 x + 1)^{2} = (3 x + 1) (3 x + 1)

= \frac{( 3 x + 1 ) ( 3 x + 1 )}{3 x + 1}

Cancel the common factor:

3 x + 1

= 3 x + 1

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Frequently Asked Questions (FAQ)

What is (9x^2+6x+1)/(3x+1) ?
The solution to (9x^2+6x+1)/(3x+1) is 3x+1