What is expand (2x-1)(3x^2-9x-4) ?

The solution to expand (2x-1)(3x^2-9x-4) is 6x^3-21x^2+x+4

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expand (2x-1)(3x^2-9x-4)

expand

(2 x - 1) (3 x^{2} - 9 x - 4)

6 x^{3} - 21 x^{2} + x + 4

Solution steps

(2 x - 1) (3 x^{2} - 9 x - 4)

Distribute parentheses

= 2 x \cdot 3 x^{2} + 2 x (- 9 x) + 2 x (- 4) - 1 \cdot 3 x^{2} - 1 \cdot (- 9 x) - 1 \cdot (- 4)

Simplify

2 x \cdot 3 x^{2} + 2 x (- 9 x) + 2 x (- 4) - 1 \cdot 3 x^{2} - 1 \cdot (- 9 x) - 1 \cdot (- 4) : 6 x^{3} - 21 x^{2} + x + 4

= 6 x^{3} - 21 x^{2} + x + 4

\frac{200}{8}

6 \cdot 25

\frac{( \frac{64}{- 27} )}{( \frac{- 12}{7} )}

\frac{1}{2} (x^{2} + 1) - \frac{3}{2} (x^{2} - 1)

2 x^{2} + 6 x + 8 x^{3} - 12 x^{4}

What is expand (2x-1)(3x^2-9x-4) ?
The solution to expand (2x-1)(3x^2-9x-4) is 6x^3-21x^2+x+4