What is expand ((x-20)(x-45)(x-55))/(3750) ?

The solution to expand ((x-20)(x-45)(x-55))/(3750) is (x^3)/(3750)-(4x^2)/(125)+(179x)/(150)-66/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x-20)(x-45)(x-55))/(3750)

expand

\frac{( x - 20 ) ( x - 45 ) ( x - 55 )}{3750}

\frac{x ^{3}}{3750} - \frac{4 x ^{2}}{125} + \frac{179 x}{150} - \frac{66}{5}

Solution steps

\frac{( x - 20 ) ( x - 45 ) ( x - 55 )}{3750}

Expand

(x - 20) (x - 45) (x - 55) : x^{3} - 120 x^{2} + 4475 x - 49500

= \frac{x ^{3} - 120 x ^{2} + 4475 x - 49500}{3750}

Apply the fraction rule:

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

\frac{x ^{3} - 120 x ^{2} + 4475 x - 49500}{3750} = \frac{x ^{3}}{3750} - \frac{120 x ^{2}}{3750} + \frac{4475 x}{3750} - \frac{49500}{3750}

= \frac{x ^{3}}{3750} - \frac{120 x ^{2}}{3750} + \frac{4475 x}{3750} - \frac{49500}{3750}

Cancel

\frac{120 x ^{2}}{3750} : \frac{4 x ^{2}}{125}

= \frac{x ^{3}}{3750} - \frac{4 x ^{2}}{125} + \frac{4475 x}{3750} - \frac{49500}{3750}

Cancel

\frac{4475 x}{3750} : \frac{179 x}{150}

= \frac{x ^{3}}{3750} - \frac{4 x ^{2}}{125} + \frac{179 x}{150} - \frac{49500}{3750}

Cancel

\frac{49500}{3750} : \frac{66}{5}

= \frac{x ^{3}}{3750} - \frac{4 x ^{2}}{125} + \frac{179 x}{150} - \frac{66}{5}

\frac{d}{d q} ((c) (0.0003 q^{2} - 0.03 q + 4))

, (5 x^{5} + 3 x^{4} - 2 x^{3} - 7 x^{2} - 6) + (- 5 x^{5} - 3 x^{4} - 2 x^{3} + 3 x^{2} - 4 x + 2)

(3 + 5) (6 + 5)

\frac{x d x}{( x ^{2} - 1 ) ^{3}}

(x^{2} + 2 x h + h^{2} + 1)^{\frac{6}{7}} (x^{2} + 1)

What is expand ((x-20)(x-45)(x-55))/(3750) ?
The solution to expand ((x-20)(x-45)(x-55))/(3750) is (x^3)/(3750)-(4x^2)/(125)+(179x)/(150)-66/5