What is expand (6x^5+5)^3 ?

The solution to expand (6x^5+5)^3 is 216x^{15}+540x^{10}+450x^5+125

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expand (6x^5+5)^3

expand

(6 x^{5} + 5)^{3}

216 x^{15} + 540 x^{10} + 450 x^{5} + 125

Solution steps

(6 x^{5} + 5)^{3}

Apply Perfect Cube Formula:

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

(6 x^{5} + 5)^{3} = (6 x^{5})^{3} + 3 (6 x^{5})^{2} \cdot 5 + 3 \cdot 6 x^{5} \cdot 5^{2} + 5^{3}

= (6 x^{5})^{3} + 3 (6 x^{5})^{2} \cdot 5 + 3 \cdot 6 x^{5} \cdot 5^{2} + 5^{3}

Simplify

(6 x^{5})^{3} + 3 (6 x^{5})^{2} \cdot 5 + 3 \cdot 6 x^{5} \cdot 5^{2} + 5^{3} : 216 x^{15} + 540 x^{10} + 450 x^{5} + 125

= 216 x^{15} + 540 x^{10} + 450 x^{5} + 125

8 \frac{( 1 - sin ( a ) )}{( 1 + sin ( a ) )}

(\frac{3}{x} + \frac{4}{y})^{3}

207 x + 429 x - 12

(c - 4)^{3}

+ 3 y - 4 y

What is expand (6x^5+5)^3 ?
The solution to expand (6x^5+5)^3 is 216x^{15}+540x^{10}+450x^5+125