확장 ((x-4)(125x-500))/6

해법

확장

\frac{( x - 4 ) ( 125 x - 500 )}{6}

\frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}

솔루션 단계

\frac{( x - 4 ) ( 125 x - 500 )}{6}

(x - 4) (125 x - 500)

확대한다:

125 x^{2} - 1000 x + 2000

= \frac{125 x ^{2} - 1000 x + 2000}{6}

분수 규칙 적용:

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

\frac{125 x ^{2} - 1000 x + 2000}{6} = \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

= \frac{125 x ^{2}}{6} - \frac{1000 x}{6} + \frac{2000}{6}

\frac{1000 x}{6}

취소하다 :

\frac{500 x}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{2000}{6}

\frac{2000}{6}

취소하다 :

\frac{1000}{3}

= \frac{125 x ^{2}}{6} - \frac{500 x}{3} + \frac{1000}{3}