What is expand ((x-8)*(x-9))/(30) ?

The solution to expand ((x-8)*(x-9))/(30) is (x^2)/(30)-(17x)/(30)+12/5

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expand ((x-8)*(x-9))/(30)

expand

\frac{( x - 8 ) \cdot ( x - 9 )}{30}

\frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{12}{5}

Solution steps

\frac{( x - 8 ) ( x - 9 )}{30}

Expand

(x - 8) (x - 9) : x^{2} - 17 x + 72

= \frac{x ^{2} - 17 x + 72}{30}

Apply the fraction rule:

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

\frac{x ^{2} - 17 x + 72}{30} = \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{72}{30}

= \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{72}{30}

Cancel

\frac{72}{30} : \frac{12}{5}

= \frac{x ^{2}}{30} - \frac{17 x}{30} + \frac{12}{5}

\frac{( ( k + 1 ) ^{2} ( k + 2 ) ^{2} )}{4}

(e^{- 5 t} + 2)^{2}

\frac{s + 3}{( s ^{2} + 4 s + 5 ) ( s + 5 )}

(3 x + 2)^{2}

(x - 7) (x + 3)

What is expand ((x-8)*(x-9))/(30) ?
The solution to expand ((x-8)*(x-9))/(30) is (x^2)/(30)-(17x)/(30)+12/5