What is ((sqrt(2x)+y)/(18))^3 ?

The solution to ((sqrt(2x)+y)/(18))^3 is ((sqrt(2)sqrt(x)+y)^3)/(5832)

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simplify ((sqrt(2x)+y)/(18))^3

simplify

(\frac{2 x + y}{18})^{3}

\frac{( 2 x + y ) ^{3}}{5832}

Solution steps

(\frac{2 x + y}{18})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 x + y ) ^{3}}{1 8 ^{3}}

1 8^{3} = 5832

= \frac{( 2 x + y ) ^{3}}{5832}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \frac{( 2 x + y ) ^{3}}{5832}

(lo g_{2} (x))^{2} - lo g_{2} (x^{3}) - 18

x - 23 + 6 x^{2} + 9

y^{4} - 41 y^{2} + 400

(- 2 a - 5 b)^{3}

(3 x + 2)^{3} - (x - 1)^{3}

What is ((sqrt(2x)+y)/(18))^3 ?
The solution to ((sqrt(2x)+y)/(18))^3 is ((sqrt(2)sqrt(x)+y)^3)/(5832)