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

The solution to expand (x-2)(x^2-2x+4) is x^3-4x^2+8x-8

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

expand

(x - 2) (x^{2} - 2 x + 4)

x^{3} - 4 x^{2} + 8 x - 8

Solution steps

(x - 2) (x^{2} - 2 x + 4)

Distribute parentheses

= x x^{2} + x (- 2 x) + x \cdot 4 - 2 x^{2} - 2 (- 2 x) - 2 \cdot 4

Simplify

x x^{2} + x (- 2 x) + x \cdot 4 - 2 x^{2} - 2 (- 2 x) - 2 \cdot 4 : x^{3} - 4 x^{2} + 8 x - 8

= x^{3} - 4 x^{2} + 8 x - 8

(2 x^{- 3} y^{- 4}) (6 x^{- 4} y^{7})

\frac{1}{7} + \frac{1}{4}

\frac{11}{4} \cdot \frac{1}{7}

80 - 20

(y - 7) (y - 8)

What is expand (x-2)(x^2-2x+4) ?
The solution to expand (x-2)(x^2-2x+4) is x^3-4x^2+8x-8