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

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

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

expand

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

2 x^{3} + 9 x^{2} - 7 x + 1

Solution steps

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

Distribute parentheses

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

Simplify

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

= 2 x^{3} + 9 x^{2} - 7 x + 1

6 \times (- \frac{1}{2})

- 8 \div 1

6 i (3 + 2 i)

4 \cdot 12

24 \cdot 424

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