What is expand (3m-4)^3(3m^5) ?

The solution to expand (3m-4)^3(3m^5) is 81m^8-324m^7+432m^6-192m^5

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expand (3m-4)^3(3m^5)

expand

(3 m - 4)^{3} (3 m^{5})

81 m^{8} - 324 m^{7} + 432 m^{6} - 192 m^{5}

Solution steps

(3 m - 4)^{3} (3 m^{5})

= (3 m^{5}) (3 m - 4)^{3}

Expand

(3 m - 4)^{3} : 27 m^{3} - 108 m^{2} + 144 m - 64

= 3 m^{5} (27 m^{3} - 108 m^{2} + 144 m - 64)

Distribute parentheses

= 3 m^{5} \cdot 27 m^{3} + 3 m^{5} (- 108 m^{2}) + 3 m^{5} \cdot 144 m + 3 m^{5} (- 64)

Simplify

3 m^{5} \cdot 27 m^{3} + 3 m^{5} (- 108 m^{2}) + 3 m^{5} \cdot 144 m + 3 m^{5} (- 64) : 81 m^{8} - 324 m^{7} + 432 m^{6} - 192 m^{5}

= 81 m^{8} - 324 m^{7} + 432 m^{6} - 192 m^{5}

\frac{cos ( x )}{1 + sin ( x )} - \frac{cos ( x )}{1 - sin ( x )}

(- 5) - (- 4)

15 \frac{1}{2}

7 \cdot \frac{3}{4}

- ln (0.86) - \frac{1}{0.86} - 0.3678 e

What is expand (3m-4)^3(3m^5) ?
The solution to expand (3m-4)^3(3m^5) is 81m^8-324m^7+432m^6-192m^5