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Popular >

expand (d-4e)(3d+e)

Solution

expand

(d - 4 e) (3 d + e)

Solution

3 d^{2} - 11 e d - 4 e^{2}

Solution steps

(d - 4 e) (3 d + e)

Apply FOIL method:

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

a = d, b = - 4 e, c = 3 d, d = e

= d \cdot 3 d + d e + (- 4 e) \cdot 3 d + (- 4 e) e

Apply minus-plus rules

+ (- a) = - a

= 3 dd + e d - 4 \cdot 3 e d - 4 ee

Simplify

3 dd + e d - 4 \cdot 3 e d - 4 ee : 3 d^{2} - 11 e d - 4 e^{2}

= 3 d^{2} - 11 e d - 4 e^{2}

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Frequently Asked Questions (FAQ)

What is expand (d-4e)(3d+e) ?
The solution to expand (d-4e)(3d+e) is 3d^2-11ed-4e^2