What is simplify-pia^2(2a(1-4/(3pi))) ?

The solution to simplify-pia^2(2a(1-4/(3pi))) is (8a^3)/3-2pia^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-pia^2(2a(1-4/(3pi)))

simplify

- π a^{2} (2 a (1 - \frac{4}{3 π}))

\frac{8 a ^{3}}{3} - 2 π a^{3}

Solution steps

- π a^{2} (2 a (1 - \frac{4}{3 π}))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{2} a = a^{2 + 1}

= - π 2 a^{2 + 1} (1 - \frac{4}{3 π})

Add the numbers:

2 + 1 = 3

= - π 2 a^{3} (1 - \frac{4}{3 π})

= - 2 π (1 - \frac{4}{3 π}) a^{3}

Apply the distributive law:

a (b - c) = ab - a c

a = - π 2 a^{3}, b = 1, c = \frac{4}{3 π}

= - π 2 a^{3} \cdot 1 - (- π 2 a^{3}) \frac{4}{3 π}

Apply minus-plus rules

- (- a) = a

= - 2 \cdot 1 π a^{3} + 2 π \frac{4}{3 π} a^{3}

Simplify

- 2 \cdot 1 π a^{3} + 2 π \frac{4}{3 π} a^{3} : - 2 π a^{3} + \frac{8 a ^{3}}{3}

= - 2 π a^{3} + \frac{8 a ^{3}}{3}

= \frac{8 a ^{3}}{3} - 2 π a^{3}

1.75 \cdot 1 0^{- 6}

1.9 e^{- 1.9}

- \frac{1}{s} e^{- s t}

\frac{1 - x}{2 - x}

\frac{- 4}{2}

What is simplify-pia^2(2a(1-4/(3pi))) ?
The solution to simplify-pia^2(2a(1-4/(3pi))) is (8a^3)/3-2pia^3