What is (2k)/(3k+15)+(k^2)/(6k^2+60k+150) ?

The solution to (2k)/(3k+15)+(k^2)/(6k^2+60k+150) is (5k^2+20k)/(6(k+5)^2)

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simplify (2k)/(3k+15)+(k^2)/(6k^2+60k+150)

simplify

\frac{2 k}{3 k + 15} + \frac{k ^{2}}{6 k ^{2} + 60 k + 150}

\frac{5 k ^{2} + 20 k}{6 ( k + 5 ) ^{2}}

Solution steps

\frac{2 k}{3 k + 15} + \frac{k ^{2}}{6 k ^{2} + 60 k + 150}

Least Common Multiplier of

3 k + 15, 6 k^{2} + 60 k + 150 : 6 (k + 5)^{2}

Adjust Fractions based on the LCM

= \frac{4 k ( k + 5 )}{6 ( k + 5 ) ^{2}} + \frac{k ^{2}}{6 ( k + 5 ) ^{2}}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{4 k ( k + 5 ) + k ^{2}}{6 ( k + 5 ) ^{2}}

Simplify

4 k (k + 5) + k^{2} : 5 k^{2} + 20 k

= \frac{5 k ^{2} + 20 k}{6 ( k + 5 ) ^{2}}

75 x^{7} y^{5}

- 8 x^{3} y^{2} (2 x^{4} y^{4})

\frac{1}{2} (1) - 3

∣ 2 (x - 4) ∣ + 7 = 25

2 x^{2} + 8 x + 7 = 0

What is (2k)/(3k+15)+(k^2)/(6k^2+60k+150) ?
The solution to (2k)/(3k+15)+(k^2)/(6k^2+60k+150) is (5k^2+20k)/(6(k+5)^2)