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Popular >

expand (x-1)^3

Solution

expand

(x - 1)^{3}

Solution

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

Solution steps

(x - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

factor 15x^3+20x^2-5x factor

15 x^{3} + 20 x^{2} - 5 x

-5<(x-4)/2 <= 1

- 5 < \frac{x - 4}{2} \leq 1

x+1+(x+4)/5 < 1/20

x + 1 + \frac{x + 4}{5} < \frac{1}{20}

factor 8y^3-125 factor

8 y^{3} - 125

factor 4x^2+4x-y^2+1 factor

4 x^{2} + 4 x - y^{2} + 1

Frequently Asked Questions (FAQ)

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