What is expand (x-2)(x-3)(x-5) ?

The solution to expand (x-2)(x-3)(x-5) is x^3-10x^2+31x-30

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expand (x-2)(x-3)(x-5)

expand

(x - 2) (x - 3) (x - 5)

x^{3} - 10 x^{2} + 31 x - 30

Solution steps

(x - 2) (x - 3) (x - 5)

Expand

(x - 2) (x - 3) (x - 5) : (x^{2} - 5 x + 6) (x - 5)

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 5) - 5 xx - 5 x (- 5) + 6 x + 6 (- 5) : x^{3} - 10 x^{2} + 31 x - 30

= x^{3} - 10 x^{2} + 31 x - 30

\frac{1}{\frac{2}{3}}

(5 + 6 i) (- 4 + 7 i)

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

\frac{mn - 5 m}{t n - 5 t}

x \cdot 6 x

What is expand (x-2)(x-3)(x-5) ?
The solution to expand (x-2)(x-3)(x-5) is x^3-10x^2+31x-30