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

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

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

expand

(x - 2) (x + 5) (x - 4)

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

Solution steps

(x - 2) (x + 5) (x - 4)

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 4) + 3 xx + 3 x (- 4) - 10 x - 10 (- 4) : x^{3} - x^{2} - 22 x + 40

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

2 \frac{625}{81}

10 x y x z + 3 x yz - 4 x^{2} yz - 2 x zy

3 \cdot 3 \cdot 3

- 176

1 \cdot (- 1)

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