What is ((sqrt(5x)-(2y))/3)^2 ?

The solution to ((sqrt(5x)-(2y))/3)^2 is (5x-4sqrt(5)ysqrt(x)+4y^2)/9

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simplify ((sqrt(5x)-(2y))/3)^2

simplify

(\frac{5 x - ( 2 y )}{3})^{2}

\frac{5 x - 4 5 y x + 4 y ^{2}}{9}

Solution steps

(\frac{5 x - ( 2 y )}{3})^{2}

Apply rule:

- (a) = - a

- (2 y) = - 2 y

= (\frac{5 x - 2 y}{3})^{2}

Apply exponent rule:

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

= \frac{( 5 x - 2 y ) ^{2}}{3 ^{2}}

3^{2} = 9

= \frac{( 5 x - 2 y ) ^{2}}{9}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \frac{( 5 x - 2 y ) ^{2}}{9}

Expand

(5 x - 2 y)^{2} : 5 x - 45 y x + 4 y^{2}

= \frac{5 x - 4 5 y x + 4 y ^{2}}{9}

27 - 2 y - 6

(5 x - 7 y)^{3}

(\frac{( 3 p )}{3 - 5 q})^{3}

(3 x^{7})^{4}

(\frac{( 5 m ^{2} )}{( 4 n ^{5} )})^{3}

What is ((sqrt(5x)-(2y))/3)^2 ?
The solution to ((sqrt(5x)-(2y))/3)^2 is (5x-4sqrt(5)ysqrt(x)+4y^2)/9