What is expand-3(27pi^3-1) ?

The solution to expand-3(27pi^3-1) is -81pi^3+3

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expand-3(27pi^3-1)

expand

- 3 (27 π^{3} - 1)

- 81 π^{3} + 3

Solution steps

- 3 (27 π^{3} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = - 3, b = 27 π^{3}, c = 1

= - 3 \cdot 27 π^{3} - (- 3) \cdot 1

Apply minus-plus rules

- (- a) = a

= - 3 \cdot 27 π^{3} + 3 \cdot 1

Simplify

- 3 \cdot 27 π^{3} + 3 \cdot 1 : - 81 π^{3} + 3

= - 81 π^{3} + 3

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