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Popular >

expand (2e-3f)(e+f)

Solution

expand

(2 e - 3 f) (e + f)

Solution

- 3 f^{2} - e f + 2 e^{2}

Solution steps

(2 e - 3 f) (e + f)

Apply FOIL method:

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

a = 2 e, b = - 3 f, c = e, d = f

= 2 ee + 2 e f + (- 3 f) e + (- 3 f) f

Apply minus-plus rules

+ (- a) = - a

= 2 ee + 2 e f - 3 e f - 3 ff

Simplify

2 ee + 2 e f - 3 e f - 3 ff : - 3 f^{2} - e f + 2 e^{2}

= - 3 f^{2} - e f + 2 e^{2}

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Frequently Asked Questions (FAQ)

What is expand (2e-3f)(e+f) ?
The solution to expand (2e-3f)(e+f) is -3f^2-ef+2e^2