What is expand ((6x-5)^2)/(36) ?

The solution to expand ((6x-5)^2)/(36) is x^2-(5x)/3+25/36

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expand ((6x-5)^2)/(36)

expand

\frac{( 6 x - 5 ) ^{2}}{36}

x^{2} - \frac{5 x}{3} + \frac{25}{36}

Solution steps

\frac{( 6 x - 5 ) ^{2}}{36}

(6 x - 5)^{2} = 36 x^{2} - 60 x + 25

= \frac{36 x ^{2} - 60 x + 25}{36}

Apply the fraction rule:

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

\frac{36 x ^{2} - 60 x + 25}{36} = \frac{36 x ^{2}}{36} - \frac{60 x}{36} + \frac{25}{36}

= \frac{36 x ^{2}}{36} - \frac{60 x}{36} + \frac{25}{36}

Divide the numbers:

\frac{36}{36} = 1

= x^{2} - \frac{60 x}{36} + \frac{25}{36}

Cancel

\frac{60 x}{36} : \frac{5 x}{3}

= x^{2} - \frac{5 x}{3} + \frac{25}{36}

(\frac{1}{p ^{2}} - 4 q)^{7}

(x^{2} + 4 i)^{2}

(1 + cos (x)) (cos (x))

1 - sin (x) (1 + sin (x))

What is expand ((6x-5)^2)/(36) ?
The solution to expand ((6x-5)^2)/(36) is x^2-(5x)/3+25/36