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Popular >

expand (c-4)^3

Solution

expand

(c - 4)^{3}

Solution

c^{3} - 12 c^{2} + 48 c - 64

Solution steps

(c - 4)^{3}

Apply Perfect Cube Formula:

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

(c - 4)^{3} = c^{3} - 3 c^{2} \cdot 4 + 3 c \cdot 4^{2} - 4^{3}

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

Simplify

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

= c^{3} - 12 c^{2} + 48 c - 64

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Frequently Asked Questions (FAQ)

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