What is expand (2x^5-3)^3 ?

The solution to expand (2x^5-3)^3 is 8x^{15}-36x^{10}+54x^5-27

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expand (2x^5-3)^3

expand

(2 x^{5} - 3)^{3}

8 x^{15} - 36 x^{10} + 54 x^{5} - 27

Solution steps

(2 x^{5} - 3)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(2 x^{5} - 3)^{3} = (2 x^{5})^{3} - 3 (2 x^{5})^{2} \cdot 3 + 3 \cdot 2 x^{5} \cdot 3^{2} - 3^{3}

= (2 x^{5})^{3} - 3 (2 x^{5})^{2} \cdot 3 + 3 \cdot 2 x^{5} \cdot 3^{2} - 3^{3}

Simplify

(2 x^{5})^{3} - 3 (2 x^{5})^{2} \cdot 3 + 3 \cdot 2 x^{5} \cdot 3^{2} - 3^{3} : 8 x^{15} - 36 x^{10} + 54 x^{5} - 27

= 8 x^{15} - 36 x^{10} + 54 x^{5} - 27

(8 x - 7 y)^{2}

3 - 4 x^{2}

\frac{11}{5 132}

- 5 (6 m + 3) - 7 (- 7 m + 7)

- - 7 \frac{3}{5}

What is expand (2x^5-3)^3 ?
The solution to expand (2x^5-3)^3 is 8x^{15}-36x^{10}+54x^5-27