What is expand (s+2)(s+4)(s-3) ?

The solution to expand (s+2)(s+4)(s-3) is s^3+3s^2-10s-24

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expand (s+2)(s+4)(s-3)

expand

(s + 2) (s + 4) (s - 3)

s^{3} + 3 s^{2} - 10 s - 24

Solution steps

(s + 2) (s + 4) (s - 3)

Expand

(s + 2) (s + 4) (s - 3) : (s^{2} + 6 s + 8) (s - 3)

= (s^{2} + 6 s + 8) (s - 3)

Distribute parentheses

= s^{2} s + s^{2} (- 3) + 6 ss + 6 s (- 3) + 8 s + 8 (- 3)

Simplify

s^{2} s + s^{2} (- 3) + 6 ss + 6 s (- 3) + 8 s + 8 (- 3) : s^{3} + 3 s^{2} - 10 s - 24

= s^{3} + 3 s^{2} - 10 s - 24

(2 x + 2) (2 x + 1)

(3 + x)^{4}

i + i^{2} + i^{3} + i^{4}

(- 6 x^{2} - 2 x + 5) - (2 x^{2} + 8)

\frac{5}{3} + \frac{1}{2}

What is expand (s+2)(s+4)(s-3) ?
The solution to expand (s+2)(s+4)(s-3) is s^3+3s^2-10s-24