What is expand ((3x-2)(7x+5))/6 ?

The solution to expand ((3x-2)(7x+5))/6 is (7x^2)/2+x/6-5/3

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expand ((3x-2)(7x+5))/6

expand

\frac{( 3 x - 2 ) ( 7 x + 5 )}{6}

\frac{7 x ^{2}}{2} + \frac{x}{6} - \frac{5}{3}

Solution steps

\frac{( 3 x - 2 ) ( 7 x + 5 )}{6}

Expand

(3 x - 2) (7 x + 5) : 21 x^{2} + x - 10

= \frac{21 x ^{2} + x - 10}{6}

Apply the fraction rule:

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

\frac{21 x ^{2} + x - 10}{6} = \frac{21 x ^{2}}{6} + \frac{x}{6} - \frac{10}{6}

= \frac{21 x ^{2}}{6} + \frac{x}{6} - \frac{10}{6}

Cancel

\frac{21 x ^{2}}{6} : \frac{7 x ^{2}}{2}

= \frac{7 x ^{2}}{2} + \frac{x}{6} - \frac{10}{6}

Cancel

\frac{10}{6} : \frac{5}{3}

= \frac{7 x ^{2}}{2} + \frac{x}{6} - \frac{5}{3}

\frac{8}{( s - 1 ) ( s ^{2} + 2 s + 5 )}

\frac{x ( x - 3 ) ^{2}}{( x + 4 ) ^{3}}

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

A (- 4, 2) B (1, 5) C (3, - 4)

- \frac{( - 3 x + 1 ) ( 93 x + 7 )}{1017}

What is expand ((3x-2)(7x+5))/6 ?
The solution to expand ((3x-2)(7x+5))/6 is (7x^2)/2+x/6-5/3