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

The solution to expand (3x-2)(x^2-2x+3) is 3x^3-8x^2+13x-6

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

expand

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

3 x^{3} - 8 x^{2} + 13 x - 6

Solution steps

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

Distribute parentheses

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

Simplify

3 x x^{2} + 3 x (- 2 x) + 3 x \cdot 3 - 2 x^{2} - 2 (- 2 x) - 2 \cdot 3 : 3 x^{3} - 8 x^{2} + 13 x - 6

= 3 x^{3} - 8 x^{2} + 13 x - 6

49 - - 162 + 64 - - 72

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

80 x^{2} + 50

2^{2} + (23)^{2}

10 x + 36 - 38 x - 47

What is expand (3x-2)(x^2-2x+3) ?
The solution to expand (3x-2)(x^2-2x+3) is 3x^3-8x^2+13x-6