What is expand (x-b)(x-c)(x-d)(x-e)(x-f) ?

The solution to expand (x-b)(x-c)(x-d)(x-e)(x-f) is

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expand (x-b)(x-c)(x-d)(x-e)(x-f)

expand

(x - b) (x - c) (x - d) (x - e) (x - f)

x^{5} - x^{4} f - e x^{4} + e x^{3} f - d x^{4} + d x^{3} f + e d x^{3} - e d x^{2} f - c x^{4} + c x^{3} f + ec x^{3} - ec x^{2} f + c d x^{3} - c d x^{2} f - ec d x^{2} + ec d x f - b x^{4} + b x^{3} f + e b x^{3} - e b x^{2} f + b d x^{3} - b d x^{2} f - e b d x^{2} + e b d x f + b c x^{3} - b c x^{2} f - e b c x^{2} + e b c x f - b c d x^{2} + b c d x f + e b c d x - e b c df

Solution steps

(x - b) (x - c) (x - d) (x - e) (x - f)

Expand

(x - b) (x - c) : x^{2} - c x - b x + b c

= (x^{2} - c x - b x + b c) (x - d) (x - e) (x - f)

Expand

(x^{2} - c x - b x + b c) (x - d) : x^{3} - d x^{2} - c x^{2} + c d x - b x^{2} + b d x + b c x - b c d

= (x^{3} - d x^{2} - c x^{2} + c d x - b x^{2} + b d x + b c x - b c d) (x - e) (x - f)

Expand

(x^{3} - d x^{2} - c x^{2} + c d x - b x^{2} + b d x + b c x - b c d) (x - e) : x^{4} - e x^{3} - d x^{3} + e d x^{2} - c x^{3} + ec x^{2} + c d x^{2} - ec d x - b x^{3} + e b x^{2} + b d x^{2} - e b d x + b c x^{2} - e b c x - b c d x + e b c d

= (x^{4} - e x^{3} - d x^{3} + e d x^{2} - c x^{3} + ec x^{2} + c d x^{2} - ec d x - b x^{3} + e b x^{2} + b d x^{2} - e b d x + b c x^{2} - e b c x - b c d x + e b c d) (x - f)

Expand

(x^{4} - e x^{3} - d x^{3} + e d x^{2} - c x^{3} + ec x^{2} + c d x^{2} - ec d x - b x^{3} + e b x^{2} + b d x^{2} - e b d x + b c x^{2} - e b c x - b c d x + e b c d) (x - f) : x^{5} - x^{4} f - e x^{4} + e x^{3} f - d x^{4} + d x^{3} f + e d x^{3} - e d x^{2} f - c x^{4} + c x^{3} f + ec x^{3} - ec x^{2} f + c d x^{3} - c d x^{2} f - ec d x^{2} + ec d x f - b x^{4} + b x^{3} f + e b x^{3} - e b x^{2} f + b d x^{3} - b d x^{2} f - e b d x^{2} + e b d x f + b c x^{3} - b c x^{2} f - e b c x^{2} + e b c x f - b c d x^{2} + b c d x f + e b c d x - e b c df

= x^{5} - x^{4} f - e x^{4} + e x^{3} f - d x^{4} + d x^{3} f + e d x^{3} - e d x^{2} f - c x^{4} + c x^{3} f + ec x^{3} - ec x^{2} f + c d x^{3} - c d x^{2} f - ec d x^{2} + ec d x f - b x^{4} + b x^{3} f + e b x^{3} - e b x^{2} f + b d x^{3} - b d x^{2} f - e b d x^{2} + e b d x f + b c x^{3} - b c x^{2} f - e b c x^{2} + e b c x f - b c d x^{2} + b c d x f + e b c d x - e b c df

\frac{1 - e ^{- 6 s}}{s ( s - 1 ) ( s - 3 )}

\frac{( x - 1 ) ( x + 3 )}{x + 2}

\frac{2 x + 3}{( x + 2 ) ^{3}}

(1, 9) y (- 6, - 1)

\frac{d}{d x} ((3 x + 2) (8)) + (4 x^{2} + 1) (3)

What is expand (x-b)(x-c)(x-d)(x-e)(x-f) ?
The solution to expand (x-b)(x-c)(x-d)(x-e)(x-f) is