What is expand (3x+1)(2x^2+9x+6) ?

The solution to expand (3x+1)(2x^2+9x+6) is 6x^3+29x^2+27x+6

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expand (3x+1)(2x^2+9x+6)

expand

(3 x + 1) (2 x^{2} + 9 x + 6)

6 x^{3} + 29 x^{2} + 27 x + 6

Solution steps

(3 x + 1) (2 x^{2} + 9 x + 6)

Distribute parentheses

= 3 x \cdot 2 x^{2} + 3 x \cdot 9 x + 3 x \cdot 6 + 1 \cdot 2 x^{2} + 1 \cdot 9 x + 1 \cdot 6

Simplify

3 x \cdot 2 x^{2} + 3 x \cdot 9 x + 3 x \cdot 6 + 1 \cdot 2 x^{2} + 1 \cdot 9 x + 1 \cdot 6 : 6 x^{3} + 29 x^{2} + 27 x + 6

= 6 x^{3} + 29 x^{2} + 27 x + 6

\frac{5}{2} + \frac{3}{4}

4 t^{2} + 4

f (10)

(s^{2} + 4)^{2}

\frac{x ^{2} - 9}{x ^{2} + x - 6}

What is expand (3x+1)(2x^2+9x+6) ?
The solution to expand (3x+1)(2x^2+9x+6) is 6x^3+29x^2+27x+6