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

The solution to expand (a-b-c)(d-e-f) is ad-ea-af-bd+eb+bf-cd+ec+cf

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

expand

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

a d - e a - a f - b d + e b + b f - c d + ec + c f

Solution steps

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

Distribute parentheses

= a d + a (- e) + a (- f) + (- b) d + (- b) (- e) + (- b) (- f) + (- c) d + (- c) (- e) + (- c) (- f)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= a d - e a - a f - b d + e b + b f - c d + ec + c f

(cos (x))^{2}

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

\frac{( x - 1 ) x + 5}{2}

2 (\frac{4}{e ^{4}} + \frac{4}{e ^{16}} + \frac{4}{e ^{36}})

\frac{2 w ^{2} - 13 w + 21}{( w + 2 ) ( w - 6 )}

What is expand (a-b-c)(d-e-f) ?
The solution to expand (a-b-c)(d-e-f) is ad-ea-af-bd+eb+bf-cd+ec+cf