What is 3/4 (2a-b)-2/3 (a-2b) ?

The solution to 3/4 (2a-b)-2/3 (a-2b) is (10a+7b)/(12)

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simplify 3/4 (2a-b)-2/3 (a-2b)

simplify

\frac{3}{4} (2 a - b) - \frac{2}{3} (a - 2 b)

\frac{10 a + 7 b}{12}

Solution steps

\frac{3}{4} (2 a - b) - \frac{2}{3} (a - 2 b)

Expand

\frac{3}{4} (2 a - b) : \frac{3 a}{2} - \frac{3 b}{4}

= \frac{3 a}{2} - \frac{3 b}{4} - \frac{2}{3} (a - 2 b)

Expand

- \frac{2}{3} (a - 2 b) : - \frac{2}{3} a + 2 \cdot \frac{2}{3} b

= \frac{3 a}{2} - \frac{3 b}{4} - \frac{2}{3} a + 2 \cdot \frac{2}{3} b

Simplify

\frac{3 a}{2} - \frac{3 b}{4} - \frac{2}{3} a + 2 \cdot \frac{2}{3} b : \frac{10 a + 7 b}{12}

= \frac{10 a + 7 b}{12}

\frac{6 x ^{3} + 8 x ^{2} - 15 x - 20}{16 x ^{2} - 64} \geq 0

14 + 3 n = 8 n - 3 (n - 4)

10 x + 15 = 9 (9)

\frac{3}{4} - \frac{9}{12}

\frac{5}{8} \cdot \frac{5}{12}

What is 3/4 (2a-b)-2/3 (a-2b) ?
The solution to 3/4 (2a-b)-2/3 (a-2b) is (10a+7b)/(12)