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

The solution to expand a^3*(b-c)+b^3*(c-a)+c^3*(a-b) is a^3b-a^3c+b^3c-ab^3+ac^3-bc^3

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expand a^3(b-c)+b^3(c-a)+c^3*(a-b)

expand

a^{3} \cdot (b - c) + b^{3} \cdot (c - a) + c^{3} \cdot (a - b)

a^{3} b - a^{3} c + b^{3} c - a b^{3} + a c^{3} - b c^{3}

Solution steps

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

Expand

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

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

Expand

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

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

Expand

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

= a^{3} b - a^{3} c + b^{3} c - a b^{3} + a c^{3} - b c^{3}

- x^{3} - 3 x^{2} - 25 x - 21

(\frac{a - 1}{2})^{3}

64 - (4 x - y)^{3}

- 3 x + 5 x + 5 x - 7 x

\frac{5 + 132 \times ( - 13 )}{22 \times ( - 2 )}

What is expand a^3*(b-c)+b^3*(c-a)+c^3*(a-b) ?
The solution to expand a^3*(b-c)+b^3*(c-a)+c^3*(a-b) is a^3b-a^3c+b^3c-ab^3+ac^3-bc^3