What is expand (x-4)(2x^2+5x-3) ?

The solution to expand (x-4)(2x^2+5x-3) is 2x^3-3x^2-23x+12

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expand (x-4)(2x^2+5x-3)

expand

(x - 4) (2 x^{2} + 5 x - 3)

2 x^{3} - 3 x^{2} - 23 x + 12

Solution steps

(x - 4) (2 x^{2} + 5 x - 3)

Distribute parentheses

= x \cdot 2 x^{2} + x \cdot 5 x + x (- 3) - 4 \cdot 2 x^{2} - 4 \cdot 5 x - 4 (- 3)

Simplify

x \cdot 2 x^{2} + x \cdot 5 x + x (- 3) - 4 \cdot 2 x^{2} - 4 \cdot 5 x - 4 (- 3) : 2 x^{3} - 3 x^{2} - 23 x + 12

= 2 x^{3} - 3 x^{2} - 23 x + 12

15 x^{2} + 16 x + 4

- x^{2} - 3 x + 10

(x + 3)^{9}

10 lo g_{2} (10)

4 x^{2} - 27 x + 35

What is expand (x-4)(2x^2+5x-3) ?
The solution to expand (x-4)(2x^2+5x-3) is 2x^3-3x^2-23x+12