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Popular >

expand (1+ac)(be-bd)

Solution

expand

(1 + a c) (b e - b d)

Solution

e b - b d + e a c b - a c b d

Solution steps

(1 + a c) (b e - b d)

= (1 + a c) (e b - b d)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = a c, c = b e, d = - b d

= 1 \cdot b e + 1 \cdot (- b d) + a c b e + a c (- b d)

Apply minus-plus rules

+ (- a) = - a

= 1 e b - 1 \cdot b d + e a c b - a c b d

Simplify

1 e b - 1 \cdot b d + e a c b - a c b d : e b - b d + e a c b - a c b d

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

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Frequently Asked Questions (FAQ)

What is expand (1+ac)(be-bd) ?
The solution to expand (1+ac)(be-bd) is eb-bd+eacb-acbd