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Popular >

expand (e^{6(3+5t)})(6t^5)+(t^6e^{6(3+5t)})(5)

Solution

expand

(e^{6 (3 + 5 t)}) (6 t^{5}) + (t^{6} e^{6 (3 + 5 t)}) (5)

Solution

6 e^{18 + 30 t} t^{5} + 5 e^{18 + 30 t} t^{6}

Solution steps

(e^{6 (3 + 5 t)}) (6 t^{5}) + (t^{6} e^{6 (3 + 5 t)}) (5)

Remove parentheses:

(a) = a

= e^{6 (3 + 5 t)} \cdot 6 t^{5} + t^{6} e^{6 (3 + 5 t)} \cdot 5

e^{6 (3 + 5 t)} = e^{18 + 30 t}

= 6 e^{30 t + 18} t^{5} + 5 e^{6 (5 t + 3)} t^{6}

e^{6 (3 + 5 t)} = e^{18 + 30 t}

= 6 e^{30 t + 18} t^{5} + 5 e^{30 t + 18} t^{6}

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Frequently Asked Questions (FAQ)

What is expand (e^{6(3+5t)})(6t^5)+(t^6e^{6(3+5t)})(5) ?
The solution to expand (e^{6(3+5t)})(6t^5)+(t^6e^{6(3+5t)})(5) is 6e^{18+30t}t^5+5e^{18+30t}t^6