What is expand (x-2)(x^2-x+3) ?

The solution to expand (x-2)(x^2-x+3) is x^3-3x^2+5x-6

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expand (x-2)(x^2-x+3)

expand

(x - 2) (x^{2} - x + 3)

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

Solution steps

(x - 2) (x^{2} - x + 3)

Distribute parentheses

= x x^{2} + x (- x) + x \cdot 3 - 2 x^{2} - 2 (- x) - 2 \cdot 3

Simplify

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

= x^{3} - 3 x^{2} + 5 x - 6

18 a^{3} - 24 a^{2}

2 m (4 - m) - 3 (m - 4)

(\frac{16}{9})^{- \frac{1}{2}}

y^{2} \cdot y^{4}

\frac{27}{81}

What is expand (x-2)(x^2-x+3) ?
The solution to expand (x-2)(x^2-x+3) is x^3-3x^2+5x-6