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Popular >

expand (pi-4)^3

Solution

expand

(π - 4)^{3}

Solution

π^{3} - 12 π^{2} + 48 π - 64

+1

Decimal Notation

- 0.63252 \dots

Solution steps

(π - 4)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = π, b = 4

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

Simplify

π^{3} - 3 π^{2} \cdot 4 + 3 π 4^{2} - 4^{3} : π^{3} - 12 π^{2} + 48 π - 64

= π^{3} - 12 π^{2} + 48 π - 64

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Frequently Asked Questions (FAQ)

What is expand (pi-4)^3 ?
The solution to expand (pi-4)^3 is pi^3-12pi^2+48pi-64