What is (14k^3+7k^2)/(7k^3+14k^2) ?

The solution to (14k^3+7k^2)/(7k^3+14k^2) is (2k+1)/(k+2)

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simplify (14k^3+7k^2)/(7k^3+14k^2)

simplify

\frac{14 k ^{3} + 7 k ^{2}}{7 k ^{3} + 14 k ^{2}}

\frac{2 k + 1}{k + 2}

Solution steps

\frac{14 k ^{3} + 7 k ^{2}}{7 k ^{3} + 14 k ^{2}}

Factor

14 k^{3} + 7 k^{2} : 7 k^{2} (2 k + 1)

= \frac{7 k ^{2} ( 2 k + 1 )}{7 k ^{3} + 14 k ^{2}}

Factor

7 k^{3} + 14 k^{2} : 7 k^{2} (k + 2)

= \frac{7 k ^{2} ( 2 k + 1 )}{7 k ^{2} ( k + 2 )}

Cancel the common factor:

7

= \frac{k ^{2} ( 2 k + 1 )}{k ^{2} ( k + 2 )}

Cancel the common factor:

k^{2}

= \frac{2 k + 1}{k + 2}

s^{2} - 2 s + 2 = 0

5 \leq 3 y + 8 < 17

x^{4} - x^{3} - x^{2} - x - 2

(3 i)^{5}

3 x^{3} - 9 x^{2} - 12 x

What is (14k^3+7k^2)/(7k^3+14k^2) ?
The solution to (14k^3+7k^2)/(7k^3+14k^2) is (2k+1)/(k+2)