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Popular >

expand (5e+2f)(3e+2f)

Solution

expand

(5 e + 2 f) (3 e + 2 f)

Solution

4 f^{2} + 16 e f + 15 e^{2}

Solution steps

(5 e + 2 f) (3 e + 2 f)

Apply FOIL method:

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

a = 5 e, b = 2 f, c = 3 e, d = 2 f

= 5 e 3 e + 5 e 2 f + 2 f \cdot 3 e + 2 f \cdot 2 f

= 5 \cdot 3 ee + 5 \cdot 2 e f + 2 \cdot 3 e f + 2 \cdot 2 ff

Simplify

5 \cdot 3 ee + 5 \cdot 2 e f + 2 \cdot 3 e f + 2 \cdot 2 ff : 4 f^{2} + 16 e f + 15 e^{2}

= 4 f^{2} + 16 e f + 15 e^{2}

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Frequently Asked Questions (FAQ)

What is expand (5e+2f)(3e+2f) ?
The solution to expand (5e+2f)(3e+2f) is 4f^2+16ef+15e^2