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Popular >

expand (c-1)^3

Solution

expand

(c - 1)^{3}

Solution

c^{3} - 3 c^{2} + 3 c - 1

Solution steps

(c - 1)^{3}

Apply Perfect Cube Formula:

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

(c - 1)^{3} = c^{3} - 3 c^{2} \cdot 1 + 3 c \cdot 1^{2} - 1^{3}

= c^{3} - 3 c^{2} \cdot 1 + 3 c \cdot 1^{2} - 1^{3}

Simplify

c^{3} - 3 c^{2} \cdot 1 + 3 c \cdot 1^{2} - 1^{3} : c^{3} - 3 c^{2} + 3 c - 1

= c^{3} - 3 c^{2} + 3 c - 1

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Frequently Asked Questions (FAQ)

What is expand (c-1)^3 ?
The solution to expand (c-1)^3 is c^3-3c^2+3c-1