What is expand (5e^3)(6e^2f-4e^5) ?

The solution to expand (5e^3)(6e^2f-4e^5) is 30e^5f-20e^8

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expand (5e^3)(6e^2f-4e^5)

expand

(5 e^{3}) (6 e^{2} f - 4 e^{5})

30 e^{5} f - 20 e^{8}

Solution steps

(5 e^{3}) (6 e^{2} f - 4 e^{5})

Apply the distributive law:

a (b - c) = ab - a c

a = (5 e^{3}), b = 6 e^{2} f, c = 4 e^{5}

= (5 e^{3}) \cdot 6 e^{2} f - (5 e^{3}) \cdot 4 e^{5}

= 6 e^{2} (5 e^{3}) f - 4 e^{5} (5 e^{3})

Simplify

6 e^{2} (5 e^{3}) f - 4 e^{5} (5 e^{3}) : 30 e^{5} f - 20 e^{8}

= 30 e^{5} f - 20 e^{8}

(x + 2 - 7)^{2}

\frac{1}{( x - 1 ) ( x - 2 ) ( x - 3 )}

\frac{x ^{3} + 1}{( x - 1 ) ^{2}}

a (e^{b x^{2}} + 2 b e^{b x^{2}} x^{2})

2 (3 s + 1) (s + \frac{1}{14})

What is expand (5e^3)(6e^2f-4e^5) ?
The solution to expand (5e^3)(6e^2f-4e^5) is 30e^5f-20e^8