What is expand (2x+1)(2x^2+5x-4) ?

The solution to expand (2x+1)(2x^2+5x-4) is 4x^3+12x^2-3x-4

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expand (2x+1)(2x^2+5x-4)

expand

(2 x + 1) (2 x^{2} + 5 x - 4)

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

Solution steps

(2 x + 1) (2 x^{2} + 5 x - 4)

Distribute parentheses

= 2 x \cdot 2 x^{2} + 2 x \cdot 5 x + 2 x (- 4) + 1 \cdot 2 x^{2} + 1 \cdot 5 x + 1 \cdot (- 4)

Simplify

2 x \cdot 2 x^{2} + 2 x \cdot 5 x + 2 x (- 4) + 1 \cdot 2 x^{2} + 1 \cdot 5 x + 1 \cdot (- 4) : 4 x^{3} + 12 x^{2} - 3 x - 4

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

- 1 \times x^{2}

- 441

- 8 \times (- 3)

+ 4 - \frac{1}{3}

4 \times 2 x

What is expand (2x+1)(2x^2+5x-4) ?
The solution to expand (2x+1)(2x^2+5x-4) is 4x^3+12x^2-3x-4