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

The solution to expand ((5x-2)^2)/3 is (25x^2)/3-(20x)/3+4/3

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expand ((5x-2)^2)/3

expand

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

\frac{25 x ^{2}}{3} - \frac{20 x}{3} + \frac{4}{3}

Solution steps

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

(5 x - 2)^{2} = 25 x^{2} - 20 x + 4

= \frac{25 x ^{2} - 20 x + 4}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{25 x ^{2} - 20 x + 4}{3} = \frac{25 x ^{2}}{3} - \frac{20 x}{3} + \frac{4}{3}

= \frac{25 x ^{2}}{3} - \frac{20 x}{3} + \frac{4}{3}

(x^{\frac{4}{3} - \frac{3}{7}})^{2}

(5 x + y^{2}) d x + y (2 x - x^{2}) d y

\frac{( 9 y ^{4} + 3 x ^{3} - 6 x ^{2} y + x ^{2} )}{( x y ^{2} )}

(2 x + 2)^{7}

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

What is expand ((5x-2)^2)/3 ?
The solution to expand ((5x-2)^2)/3 is (25x^2)/3-(20x)/3+4/3