What is expand 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2 ?

The solution to expand 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2 is 13/12+(-16x^2+184x-25)/(432)

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expand 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2

expand

\frac{3}{2} + \frac{1}{3} (x - \frac{5}{4}) - \frac{1}{27} (x - \frac{5}{4})^{2}

\frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

Solution steps

\frac{3}{2} + \frac{1}{3} (x - \frac{5}{4}) - \frac{1}{27} (x - \frac{5}{4})^{2}

Expand

\frac{1}{3} (x - \frac{5}{4}) : \frac{x}{3} - \frac{5}{12}

= \frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} (x - \frac{5}{4})^{2}

Expand

- \frac{1}{27} (x - \frac{5}{4})^{2} : - \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16}

= \frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16}

Simplify

\frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16} : \frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

= \frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

- 1 (2 x + y = 7)

\frac{2 a ^{2}}{s ( s ^{2} - 4 a ^{2} )}

(3 + a) (3 - a)

(x + 5) (x + 10) (x - 10)

x (2 x + 4)

What is expand 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2 ?
The solution to expand 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2 is 13/12+(-16x^2+184x-25)/(432)