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

The solution to expand 5/3 (x-3)^2(x+2) is (5x^3)/3-(20x^2)/3-5x+30

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

expand

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

\frac{5 x ^{3}}{3} - \frac{20 x ^{2}}{3} - 5 x + 30

Solution steps

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

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= \frac{5}{3} (x^{2} - 6 x + 9) (x + 2)

Expand

\frac{5}{3} (x + 2) : \frac{5 x}{3} + \frac{10}{3}

= (\frac{5 x}{3} + \frac{10}{3}) (x^{2} - 6 x + 9)

Distribute parentheses

= \frac{5 x}{3} x^{2} + \frac{5 x}{3} (- 6 x) + \frac{5 x}{3} \cdot 9 + \frac{10}{3} x^{2} + \frac{10}{3} (- 6 x) + \frac{10}{3} \cdot 9

Simplify

\frac{5 x}{3} x^{2} + \frac{5 x}{3} (- 6 x) + \frac{5 x}{3} \cdot 9 + \frac{10}{3} x^{2} + \frac{10}{3} (- 6 x) + \frac{10}{3} \cdot 9 : \frac{5 x ^{3}}{3} - \frac{20 x ^{2}}{3} - 5 x + 30

= \frac{5 x ^{3}}{3} - \frac{20 x ^{2}}{3} - 5 x + 30

(5 c + d) (5 c - d)

(k + i + j) \times (k + ki + i + ij + j)^{2}

\frac{s}{( s ^{2} + 4 ) ( s ^{2} + w ^{2} )}

5 e^{x} tan (d) x + (1 - e^{x}) sec^{2} (x)

(1 - L) \cdot (1 - t)

What is expand 5/3 (x-3)^2(x+2) ?
The solution to expand 5/3 (x-3)^2(x+2) is (5x^3)/3-(20x^2)/3-5x+30