What is expand pi/3 ((18+y)(3+y/6)^2-21*3^2)y ?

The solution to expand pi/3 ((18+y)(3+y/6)^2-21*3^2)y is (piy^4}{108}+\frac{piy^3)/2+9piy^2-9piy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand pi/3 ((18+y)(3+y/6)^2-21*3^2)y

expand

\frac{π}{3} ((18 + y) (3 + \frac{y}{6})^{2} - 21 \cdot 3^{2}) y

\frac{π y ^{4}}{108} + \frac{π y ^{3}}{2} + 9 π y^{2} - 9 π y

Solution steps

\frac{π}{3} ((18 + y) (3 + \frac{y}{6})^{2} - 21 \cdot 3^{2}) y

= \frac{π}{3} y ((18 + y) (3 + \frac{y}{6})^{2} - 3^{2} \cdot 21)

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{π}{3} y, b = (18 + y) (3 + \frac{y}{6})^{2}, c = 21 \cdot 3^{2}

= \frac{π}{3} y (18 + y) (3 + \frac{y}{6})^{2} - \frac{π}{3} y \cdot 21 \cdot 3^{2}

= \frac{π}{3} y (18 + y) (3 + \frac{y}{6})^{2} - 3^{2} \cdot 21 \cdot \frac{π}{3} y

Simplify

\frac{π}{3} y (18 + y) (3 + \frac{y}{6})^{2} - 3^{2} \cdot 21 \cdot \frac{π}{3} y : \frac{π y ^{4}}{108} + \frac{π y ^{3}}{2} + 9 π y^{2} - 9 π y

= \frac{π y ^{4}}{108} + \frac{π y ^{3}}{2} + 9 π y^{2} - 9 π y

\frac{5 x ^{2} - 2 x}{3 ( x - 1 ) ( x + 0.4 ) ( x + 1.2 )}

(- 6 e^{- 6 x}) (1 + 6 x)

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

A (30, - 11) y B (- 7, 22)

5 (16 e^{2 x + 6} x + 32 e^{2 x + 6})

What is expand pi/3 ((18+y)(3+y/6)^2-21*3^2)y ?
The solution to expand pi/3 ((18+y)(3+y/6)^2-21*3^2)y is (piy^4}{108}+\frac{piy^3)/2+9piy^2-9piy