What is expand (2x-1)(3x^2-5x-7) ?

The solution to expand (2x-1)(3x^2-5x-7) is 6x^3-13x^2-9x+7

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expand (2x-1)(3x^2-5x-7)

expand

(2 x - 1) (3 x^{2} - 5 x - 7)

6 x^{3} - 13 x^{2} - 9 x + 7

Solution steps

(2 x - 1) (3 x^{2} - 5 x - 7)

Distribute parentheses

= 2 x \cdot 3 x^{2} + 2 x (- 5 x) + 2 x (- 7) - 1 \cdot 3 x^{2} - 1 \cdot (- 5 x) - 1 \cdot (- 7)

Simplify

2 x \cdot 3 x^{2} + 2 x (- 5 x) + 2 x (- 7) - 1 \cdot 3 x^{2} - 1 \cdot (- 5 x) - 1 \cdot (- 7) : 6 x^{3} - 13 x^{2} - 9 x + 7

= 6 x^{3} - 13 x^{2} - 9 x + 7

5 x - 2 x

2 x^{2} x

(4 a^{2} b) (- 5 a b^{3}) (- 2 a^{2} b^{4} c)

5 x^{2} - 5 x - 60

49 x^{6}

What is expand (2x-1)(3x^2-5x-7) ?
The solution to expand (2x-1)(3x^2-5x-7) is 6x^3-13x^2-9x+7