What is expand (a-2b-3c)^3 ?

The solution to expand (a-2b-3c)^3 is a^3-8b^3-6a^2b-9a^2c+12ab^2+27ac^2-36b^2c-54bc^2+36abc-27c^3

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expand (a-2b-3c)^3

expand

(a - 2 b - 3 c)^{3}

a^{3} - 8 b^{3} - 6 a^{2} b - 9 a^{2} c + 12 a b^{2} + 27 a c^{2} - 36 b^{2} c - 54 b c^{2} + 36 ab c - 27 c^{3}

Solution steps

(a - 2 b - 3 c)^{3}

Simplify

(a - 2 b - 3 c)^{3} : (a - 2 b - 3 c) (a - 2 b - 3 c) (a - 2 b - 3 c)

= (a - 2 b - 3 c) (a - 2 b - 3 c) (a - 2 b - 3 c)

Expand

(a - 2 b - 3 c) (a - 2 b - 3 c) : a^{2} - 4 ab - 6 a c + 4 b^{2} + 12 b c + 9 c^{2}

= (a^{2} - 4 ab - 6 a c + 4 b^{2} + 12 b c + 9 c^{2}) (a - 2 b - 3 c)

Distribute parentheses

= a^{2} a + a^{2} (- 2 b) + a^{2} (- 3 c) - 4 aba - 4 ab (- 2 b) - 4 ab (- 3 c) - 6 a c a - 6 a c (- 2 b) - 6 a c (- 3 c) + 4 b^{2} a + 4 b^{2} (- 2 b) + 4 b^{2} (- 3 c) + 12 b c a + 12 b c (- 2 b) + 12 b c (- 3 c) + 9 c^{2} a + 9 c^{2} (- 2 b) + 9 c^{2} (- 3 c)

Simplify

a^{2} a + a^{2} (- 2 b) + a^{2} (- 3 c) - 4 aba - 4 ab (- 2 b) - 4 ab (- 3 c) - 6 a c a - 6 a c (- 2 b) - 6 a c (- 3 c) + 4 b^{2} a + 4 b^{2} (- 2 b) + 4 b^{2} (- 3 c) + 12 b c a + 12 b c (- 2 b) + 12 b c (- 3 c) + 9 c^{2} a + 9 c^{2} (- 2 b) + 9 c^{2} (- 3 c) : a^{3} - 8 b^{3} - 6 a^{2} b - 9 a^{2} c + 12 a b^{2} + 27 a c^{2} - 36 b^{2} c - 54 b c^{2} + 36 ab c - 27 c^{3}

= a^{3} - 8 b^{3} - 6 a^{2} b - 9 a^{2} c + 12 a b^{2} + 27 a c^{2} - 36 b^{2} c - 54 b c^{2} + 36 ab c - 27 c^{3}

∣ m o d x ∣ - 3

5 x - 1020

2 (a^{n + 1})

27 x^{3} + 125 z^{3}

\frac{1.86}{0.3} - \frac{1}{6} \times (19.3 - \frac{14}{5}) + 0.3 \times 6.8

What is expand (a-2b-3c)^3 ?
The solution to expand (a-2b-3c)^3 is a^3-8b^3-6a^2b-9a^2c+12ab^2+27ac^2-36b^2c-54bc^2+36abc-27c^3