What is expand ((x-30)^2(74.6-x))/(24.6^2) ?

The solution to expand ((x-30)^2(74.6-x))/(24.6^2) is -0.00165…x^3+0.22242…x^2-8.88360…x+110.94586…

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expand ((x-30)^2(74.6-x))/(24.6^2)

expand

\frac{( x - 30 ) ^{2} ( 74.6 - x )}{24. 6 ^{2}}

- 0.00165 \dots x^{3} + 0.22242 \dots x^{2} - 8.88360 \dots x + 110.94586 \dots

Solution steps

\frac{( x - 30 ) ^{2} ( 74.6 - x )}{24. 6 ^{2}}

(x - 30)^{2} = x^{2} - 60 x + 900

= \frac{( x ^{2} - 60 x + 900 ) ( - x + 74.6 )}{24. 6 ^{2}}

24. 6^{2} = 605.16

= \frac{( x ^{2} - 60 x + 900 ) ( - x + 74.6 )}{605.16}

Divide the numbers:

\frac{1}{605.16} = 0.00165 \dots

= 0.00165 \dots (x^{2} - 60 x + 900) (- x + 74.6)

Expand

(x^{2} - 60 x + 900) (74.6 - x) : - x^{3} + 134.6 x^{2} - 5376 x + 67140

= 0.00165 \dots (- x^{3} + 134.6 x^{2} - 5376 x + 67140)

Expand

0.00165 \dots (- x^{3} + 134.6 x^{2} - 5376 x + 67140) : - 0.00165 \dots x^{3} + 0.22242 \dots x^{2} - 8.88360 \dots x + 110.94586 \dots

= - 0.00165 \dots x^{3} + 0.22242 \dots x^{2} - 8.88360 \dots x + 110.94586 \dots

(1 + 2 i)^{7}

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

- \frac{x ( - 2 x + 12 )}{9}

r sin (θ) (e^{r^{2} c o s (θ)} + r sin (θ))

(e^{t} + e^{- t})^{2}

What is expand ((x-30)^2(74.6-x))/(24.6^2) ?
The solution to expand ((x-30)^2(74.6-x))/(24.6^2) is -0.00165…x^3+0.22242…x^2-8.88360…x+110.94586…