What is expand (x-1)(x-3)(x-5) ?

The solution to expand (x-1)(x-3)(x-5) is x^3-9x^2+23x-15

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expand (x-1)(x-3)(x-5)

expand

(x - 1) (x - 3) (x - 5)

x^{3} - 9 x^{2} + 23 x - 15

Solution steps

(x - 1) (x - 3) (x - 5)

Expand

(x - 1) (x - 3) (x - 5) : (x^{2} - 4 x + 3) (x - 5)

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

Distribute parentheses

= x^{2} x + x^{2} (- 5) - 4 xx - 4 x (- 5) + 3 x + 3 (- 5)

Simplify

x^{2} x + x^{2} (- 5) - 4 xx - 4 x (- 5) + 3 x + 3 (- 5) : x^{3} - 9 x^{2} + 23 x - 15

= x^{3} - 9 x^{2} + 23 x - 15

\frac{8 + 7 i}{- 3 + 4 i}

1 \div \frac{1}{5}

1 - e^{- 4}

\frac{x ^{2} + 12 x + 36}{x ^{2} - 36}

What is expand (x-1)(x-3)(x-5) ?
The solution to expand (x-1)(x-3)(x-5) is x^3-9x^2+23x-15