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Popular >

expand (1-r)^3

Solution

expand

(1 - r)^{3}

Solution

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

Solution steps

(1 - r)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

factor s^4+4s^3-7s^2-22s+24 factor

s^{4} + 4 s^{3} - 7 s^{2} - 22 s + 24

simplify 5x-7+3x+10 simplify

5 x - 7 + 3 x + 10

simplify (2/5)^6 simplify

(\frac{2}{5})^{6}

factor 16c-24 factor

16 c - 24

\frac{100}{18}

Frequently Asked Questions (FAQ)

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