What is expand (x-5)(x-1)(x-2) ?

The solution to expand (x-5)(x-1)(x-2) is x^3-8x^2+17x-10

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expand (x-5)(x-1)(x-2)

expand

(x - 5) (x - 1) (x - 2)

x^{3} - 8 x^{2} + 17 x - 10

Solution steps

(x - 5) (x - 1) (x - 2)

Expand

(x - 5) (x - 1) (x - 2) : (x^{2} - 6 x + 5) (x - 2)

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

Distribute parentheses

= x^{2} x + x^{2} (- 2) - 6 xx - 6 x (- 2) + 5 x + 5 (- 2)

Simplify

x^{2} x + x^{2} (- 2) - 6 xx - 6 x (- 2) + 5 x + 5 (- 2) : x^{3} - 8 x^{2} + 17 x - 10

= x^{3} - 8 x^{2} + 17 x - 10

(1 + h)^{2}

1 \div \frac{2}{3}

(x - 1) (x - 2) (x - 4)

\frac{3 x ^{2}}{x ^{2}}

\frac{90}{100}

What is expand (x-5)(x-1)(x-2) ?
The solution to expand (x-5)(x-1)(x-2) is x^3-8x^2+17x-10