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Popular >

expand (r-1)^3

Solution

expand

(r - 1)^{3}

Solution

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

Solution steps

(r - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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