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

The solution to expand (a+b/c)(d-e) is ad-ea+(bd)/c-(eb)/c

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expand (a+b/c)(d-e)

expand

(a + \frac{b}{c}) (d - e)

a d - e a + \frac{b d}{c} - \frac{e b}{c}

Solution steps

(a + \frac{b}{c}) (d - e)

Apply FOIL method:

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

a = a, b = \frac{b}{c}, c = d, d = - e

= a d + a (- e) + \frac{b}{c} d + \frac{b}{c} (- e)

Apply minus-plus rules

+ (- a) = - a

= a d - e a + \frac{b}{c} d - e \frac{b}{c}

Simplify

a d - e a + \frac{b}{c} d - e \frac{b}{c} : a d - e a + \frac{b d}{c} - \frac{e b}{c}

= a d - e a + \frac{b d}{c} - \frac{e b}{c}

(A - B) \circ B

4 a - 74 a + 7

\frac{( x ^{2} - 3 ) ^{2}}{x ^{5}}

\frac{1}{( 1 - a x ) ( 1 - b x ) ( 1 - c x )}

(3 d + 8 e)^{3}

What is expand (a+b/c)(d-e) ?
The solution to expand (a+b/c)(d-e) is ad-ea+(bd)/c-(eb)/c