What is expand (t-2)(t+5)(t-4) ?

The solution to expand (t-2)(t+5)(t-4) is t^3-t^2-22t+40

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expand (t-2)(t+5)(t-4)

expand

(t - 2) (t + 5) (t - 4)

t^{3} - t^{2} - 22 t + 40

Solution steps

(t - 2) (t + 5) (t - 4)

Expand

(t - 2) (t + 5) (t - 4) : (t^{2} + 3 t - 10) (t - 4)

= (t^{2} + 3 t - 10) (t - 4)

Distribute parentheses

= t^{2} t + t^{2} (- 4) + 3 tt + 3 t (- 4) - 10 t - 10 (- 4)

Simplify

t^{2} t + t^{2} (- 4) + 3 tt + 3 t (- 4) - 10 t - 10 (- 4) : t^{3} - t^{2} - 22 t + 40

= t^{3} - t^{2} - 22 t + 40

38 \cdot 103

\frac{x ^{2} - 7 x + 10}{x ^{2} + 6 x - 16}

6 x^{2} - x^{3}

\frac{1}{x x ^{2} - 1}

\frac{3}{x ^{2} - x - 2} - \frac{2}{x ^{2} - 5 x + 6}

What is expand (t-2)(t+5)(t-4) ?
The solution to expand (t-2)(t+5)(t-4) is t^3-t^2-22t+40