What is expand (4x^3-5x^2+2x+1)(3x-6) ?

The solution to expand (4x^3-5x^2+2x+1)(3x-6) is 12x^4-39x^3+36x^2-9x-6

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expand (4x^3-5x^2+2x+1)(3x-6)

expand

(4 x^{3} - 5 x^{2} + 2 x + 1) (3 x - 6)

12 x^{4} - 39 x^{3} + 36 x^{2} - 9 x - 6

Solution steps

(4 x^{3} - 5 x^{2} + 2 x + 1) (3 x - 6)

Distribute parentheses

= 4 x^{3} \cdot 3 x + 4 x^{3} (- 6) - 5 x^{2} \cdot 3 x - 5 x^{2} (- 6) + 2 x \cdot 3 x + 2 x (- 6) + 1 \cdot 3 x + 1 \cdot (- 6)

Simplify

4 x^{3} \cdot 3 x + 4 x^{3} (- 6) - 5 x^{2} \cdot 3 x - 5 x^{2} (- 6) + 2 x \cdot 3 x + 2 x (- 6) + 1 \cdot 3 x + 1 \cdot (- 6) : 12 x^{4} - 39 x^{3} + 36 x^{2} - 9 x - 6

= 12 x^{4} - 39 x^{3} + 36 x^{2} - 9 x - 6

a^{2} - 2 a^{2}

2 a \cdot 3 a

- \frac{4}{3} \div \frac{9}{5}

2 x - 3 x^{2}

\frac{1}{7}

What is expand (4x^3-5x^2+2x+1)(3x-6) ?
The solution to expand (4x^3-5x^2+2x+1)(3x-6) is 12x^4-39x^3+36x^2-9x-6