What is expand (5(x-140)(x-220)(x-240))/(64) ?

The solution to expand (5(x-140)(x-220)(x-240))/(64) is (5x^3}{64}-\frac{375x^2)/8+(36625x)/4-577500

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expand (5(x-140)(x-220)(x-240))/(64)

expand

\frac{5 ( x - 140 ) ( x - 220 ) ( x - 240 )}{64}

\frac{5 x ^{3}}{64} - \frac{375 x ^{2}}{8} + \frac{36625 x}{4} - 577500

Solution steps

\frac{5 ( x - 140 ) ( x - 220 ) ( x - 240 )}{64}

Expand

5 (x - 140) (x - 220) (x - 240) : 5 x^{3} - 3000 x^{2} + 586000 x - 36960000

= \frac{5 x ^{3} - 3000 x ^{2} + 586000 x - 36960000}{64}

Apply the fraction rule:

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

\frac{5 x ^{3} - 3000 x ^{2} + 586000 x - 36960000}{64} = \frac{5 x ^{3}}{64} - \frac{3000 x ^{2}}{64} + \frac{586000 x}{64} - \frac{36960000}{64}

= \frac{5 x ^{3}}{64} - \frac{3000 x ^{2}}{64} + \frac{586000 x}{64} - \frac{36960000}{64}

Cancel

\frac{3000 x ^{2}}{64} : \frac{375 x ^{2}}{8}

= \frac{5 x ^{3}}{64} - \frac{375 x ^{2}}{8} + \frac{586000 x}{64} - \frac{36960000}{64}

Cancel

\frac{586000 x}{64} : \frac{36625 x}{4}

= \frac{5 x ^{3}}{64} - \frac{375 x ^{2}}{8} + \frac{36625 x}{4} - \frac{36960000}{64}

Divide the numbers:

\frac{36960000}{64} = 577500

= \frac{5 x ^{3}}{64} - \frac{375 x ^{2}}{8} + \frac{36625 x}{4} - 577500

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

d x + (\frac{x}{y} - sin (y)) d y

3 x - 8 y - 2 z + 7 x + 3 y + x^{2}

a + b (a - b)

What is expand (5(x-140)(x-220)(x-240))/(64) ?
The solution to expand (5(x-140)(x-220)(x-240))/(64) is (5x^3}{64}-\frac{375x^2)/8+(36625x)/4-577500