What is expand (3x+2)(-3x^2-7x+3) ?

The solution to expand (3x+2)(-3x^2-7x+3) is -9x^3-27x^2-5x+6

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expand (3x+2)(-3x^2-7x+3)

expand

(3 x + 2) (- 3 x^{2} - 7 x + 3)

- 9 x^{3} - 27 x^{2} - 5 x + 6

Solution steps

(3 x + 2) (- 3 x^{2} - 7 x + 3)

Distribute parentheses

= 3 x (- 3 x^{2}) + 3 x (- 7 x) + 3 x \cdot 3 + 2 (- 3 x^{2}) + 2 (- 7 x) + 2 \cdot 3

Simplify

3 x (- 3 x^{2}) + 3 x (- 7 x) + 3 x \cdot 3 + 2 (- 3 x^{2}) + 2 (- 7 x) + 2 \cdot 3 : - 9 x^{3} - 27 x^{2} - 5 x + 6

= - 9 x^{3} - 27 x^{2} - 5 x + 6

\frac{5 8}{40} + 45

4 \frac{4}{5}

(2 - x)^{5}

- 1 \times (- 3)

What is expand (3x+2)(-3x^2-7x+3) ?
The solution to expand (3x+2)(-3x^2-7x+3) is -9x^3-27x^2-5x+6