What is expand (2x^2-x-2)(x^2-6x+4) ?

The solution to expand (2x^2-x-2)(x^2-6x+4) is 2x^4-13x^3+12x^2+8x-8

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expand (2x^2-x-2)(x^2-6x+4)

expand

(2 x^{2} - x - 2) (x^{2} - 6 x + 4)

2 x^{4} - 13 x^{3} + 12 x^{2} + 8 x - 8

Solution steps

(2 x^{2} - x - 2) (x^{2} - 6 x + 4)

Distribute parentheses

= 2 x^{2} x^{2} + 2 x^{2} (- 6 x) + 2 x^{2} \cdot 4 - x x^{2} - x (- 6 x) - x \cdot 4 - 2 x^{2} - 2 (- 6 x) - 2 \cdot 4

Simplify

2 x^{2} x^{2} + 2 x^{2} (- 6 x) + 2 x^{2} \cdot 4 - x x^{2} - x (- 6 x) - x \cdot 4 - 2 x^{2} - 2 (- 6 x) - 2 \cdot 4 : 2 x^{4} - 13 x^{3} + 12 x^{2} + 8 x - 8

= 2 x^{4} - 13 x^{3} + 12 x^{2} + 8 x - 8

(3) (- 2)

- 6 - (- 7 + 8 i) - (4 - 5 i)

(5 x - 3)^{2} - (2 x - 7)^{2}

x^{3} - 7 x^{2} - 13 x + 91

49 - 121 x^{2}

What is expand (2x^2-x-2)(x^2-6x+4) ?
The solution to expand (2x^2-x-2)(x^2-6x+4) is 2x^4-13x^3+12x^2+8x-8