What is (2 x/3+9 y/5)7 ?

The solution to (2 x/3+9 y/5)7 is (7(10x+27y))/(15)

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simplify (2 x/3+9 y/5)7

simplify

(2 \frac{x}{3} + 9 \frac{y}{5}) 7

\frac{7 ( 10 x + 27 y )}{15}

Solution steps

(2 \cdot \frac{x}{3} + 9 \cdot \frac{y}{5}) \cdot 7

2 \cdot \frac{x}{3} = \frac{2 x}{3}

9 \cdot \frac{y}{5} = \frac{9 y}{5}

= (\frac{2 x}{3} + \frac{9 y}{5}) \cdot 7

Join

\frac{2 x}{3} + \frac{9 y}{5} : \frac{10 x + 27 y}{15}

= \frac{10 x + 27 y}{15} \cdot 7

Apply the fraction rule:

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

= \frac{( 10 x + 27 y ) \cdot 7}{15}

= \frac{7 ( 10 x + 27 y )}{15}

\frac{8 x ^{2} - 18 x - 3 x + 3}{x}

3 (x - 2 y)^{3} - 7 (x - 2 y)^{2}

\frac{6}{1} - x - \frac{4}{1} + x - \frac{8}{x ^{2}} - 1

(v) a^{3} - b^{2} + a - a^{2} \cdot b^{2}

a^{3} + 3 a + 3 a^{2} + 1