What is (6x^2-14x)/(15x)+(3x^2+17x)/(15x) ?

The solution to (6x^2-14x)/(15x)+(3x^2+17x)/(15x) is (3x+1)/5

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simplify (6x^2-14x)/(15x)+(3x^2+17x)/(15x)

simplify

\frac{6 x ^{2} - 14 x}{15 x} + \frac{3 x ^{2} + 17 x}{15 x}

\frac{3 x + 1}{5}

Solution steps

\frac{6 x ^{2} - 14 x}{15 x} + \frac{3 x ^{2} + 17 x}{15 x}

Cancel

\frac{6 x ^{2} - 14 x}{15 x} : \frac{2 ( 3 x - 7 )}{15}

= \frac{2 ( 3 x - 7 )}{15} + \frac{3 x ^{2} + 17 x}{15 x}

Cancel

\frac{3 x ^{2} + 17 x}{15 x} : \frac{3 x + 17}{15}

= \frac{2 ( 3 x - 7 )}{15} + \frac{3 x + 17}{15}

Apply the fraction rule:

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

= \frac{2 ( 3 x - 7 ) + 3 x + 17}{15}

Cancel

\frac{2 ( 3 x - 7 ) + 3 x + 17}{15} : \frac{3 x + 1}{5}

= \frac{3 x + 1}{5}

\frac{5}{6} \cdot \frac{3}{4}

(4 a^{2} + \frac{1}{2} a)^{3}

20 x

π \cdot 9^{2}

630

What is (6x^2-14x)/(15x)+(3x^2+17x)/(15x) ?
The solution to (6x^2-14x)/(15x)+(3x^2+17x)/(15x) is (3x+1)/5