What is expand ((a-1)(a-6))/(3a) ?

The solution to expand ((a-1)(a-6))/(3a) is a/3-7/3+2/a

Popular >

expand ((a-1)(a-6))/(3a)

expand

\frac{( a - 1 ) ( a - 6 )}{3 a}

\frac{a}{3} - \frac{7}{3} + \frac{2}{a}

Solution steps

\frac{( a - 1 ) ( a - 6 )}{3 a}

Expand

(a - 1) (a - 6) : a^{2} - 7 a + 6

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

Apply the fraction rule:

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

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

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

Cancel

\frac{a ^{2}}{3 a} : \frac{a}{3}

= \frac{a}{3} - \frac{7 a}{3 a} + \frac{6}{3 a}

Cancel

\frac{7 a}{3 a} : \frac{7}{3}

= \frac{a}{3} - \frac{7}{3} + \frac{6}{3 a}

Divide the numbers:

\frac{6}{3} = 2

= \frac{a}{3} - \frac{7}{3} + \frac{2}{a}

f (3 x^{2} + 5 cos (x) + 2) d x

(x^{6} + 1) x^{2} - 4 = 0

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

\frac{6}{x ^{4} ( x + 1 )}

\frac{( x - 13.296 )}{2.2}

What is expand ((a-1)(a-6))/(3a) ?
The solution to expand ((a-1)(a-6))/(3a) is a/3-7/3+2/a