What is expand (6x+1/5)^3 ?

The solution to expand (6x+1/5)^3 is (27000x^3+90x+2700x^2+1)/(125)

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expand (6x+1/5)^3

expand

(6 x + \frac{1}{5})^{3}

\frac{27000 x ^{3} + 90 x + 2700 x ^{2} + 1}{125}

Solution steps

(6 x + \frac{1}{5})^{3}

Apply Perfect Cube Formula:

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

(6 x + \frac{1}{5})^{3} = (6 x)^{3} + 3 (6 x)^{2} \frac{1}{5} + 3 \cdot 6 x (\frac{1}{5})^{2} + (\frac{1}{5})^{3}

= (6 x)^{3} + 3 (6 x)^{2} \frac{1}{5} + 3 \cdot 6 x (\frac{1}{5})^{2} + (\frac{1}{5})^{3}

Simplify

(6 x)^{3} + 3 (6 x)^{2} \frac{1}{5} + 3 \cdot 6 x (\frac{1}{5})^{2} + (\frac{1}{5})^{3} : \frac{27000 x ^{3} + 90 x + 2700 x ^{2} + 1}{125}

= \frac{27000 x ^{3} + 90 x + 2700 x ^{2} + 1}{125}

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What is expand (6x+1/5)^3 ?
The solution to expand (6x+1/5)^3 is (27000x^3+90x+2700x^2+1)/(125)