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

The solution to expand (5(x-5)^2)/3 is (5x^2)/3-(50x)/3+125/3

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

expand

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

\frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

Solution steps

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

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{5 ( x ^{2} - 10 x + 25 )}{3}

Expand

5 (x^{2} - 10 x + 25) : 5 x^{2} - 50 x + 125

= \frac{5 x ^{2} - 50 x + 125}{3}

Apply the fraction rule:

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

\frac{5 x ^{2} - 50 x + 125}{3} = \frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

= \frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

- \frac{6 x}{( 2 + x ^{2} ) ^{2}}

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

(1 - e) (ba - b d a c + d c)

(6 + x)^{6}

t e (x^{3} y (t, x) - y (t, x) (t, x)^{2} = 3)

What is expand (5(x-5)^2)/3 ?
The solution to expand (5(x-5)^2)/3 is (5x^2)/3-(50x)/3+125/3