erweitern (((x-30)(x-45)(x-55)))/(8750)

Lösung

erweitern

\frac{( ( x - 30 ) \cdot ( x - 45 ) \cdot ( x - 55 ) )}{8750}

\frac{x ^{3}}{8750} - \frac{13 x ^{2}}{875} + \frac{219 x}{350} - \frac{297}{35}

Schritte zur Lösung

\frac{( x - 30 ) ( x - 45 ) ( x - 55 )}{8750}

Multipliziere aus

(x - 30) (x - 45) (x - 55) : x^{3} - 130 x^{2} + 5475 x - 74250

= \frac{x ^{3} - 130 x ^{2} + 5475 x - 74250}{8750}

Wende Bruchregel an:

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

\frac{x ^{3} - 130 x ^{2} + 5475 x - 74250}{8750} = \frac{x ^{3}}{8750} - \frac{130 x ^{2}}{8750} + \frac{5475 x}{8750} - \frac{74250}{8750}

= \frac{x ^{3}}{8750} - \frac{130 x ^{2}}{8750} + \frac{5475 x}{8750} - \frac{74250}{8750}

Streiche

\frac{130 x ^{2}}{8750} : \frac{13 x ^{2}}{875}

= \frac{x ^{3}}{8750} - \frac{13 x ^{2}}{875} + \frac{5475 x}{8750} - \frac{74250}{8750}

Streiche

\frac{5475 x}{8750} : \frac{219 x}{350}

= \frac{x ^{3}}{8750} - \frac{13 x ^{2}}{875} + \frac{219 x}{350} - \frac{74250}{8750}

Streiche

\frac{74250}{8750} : \frac{297}{35}

= \frac{x ^{3}}{8750} - \frac{13 x ^{2}}{875} + \frac{219 x}{350} - \frac{297}{35}

e x p an d 2 π r (r + h)

e x p an d (3 a + 1)^{3}

e x p an d x (ln (x) - 1)

e x p an d \frac{s}{( s + 1 ) ( s ^{2} + 4 )}

\frac{\partial}{\partial x} ((y) (x + y))