What is expand (x+3)(3x^2+8x+9) ?

The solution to expand (x+3)(3x^2+8x+9) is 3x^3+17x^2+33x+27

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expand (x+3)(3x^2+8x+9)

expand

(x + 3) (3 x^{2} + 8 x + 9)

3 x^{3} + 17 x^{2} + 33 x + 27

Solution steps

(x + 3) (3 x^{2} + 8 x + 9)

Distribute parentheses

= x \cdot 3 x^{2} + x \cdot 8 x + x \cdot 9 + 3 \cdot 3 x^{2} + 3 \cdot 8 x + 3 \cdot 9

Simplify

x \cdot 3 x^{2} + x \cdot 8 x + x \cdot 9 + 3 \cdot 3 x^{2} + 3 \cdot 8 x + 3 \cdot 9 : 3 x^{3} + 17 x^{2} + 33 x + 27

= 3 x^{3} + 17 x^{2} + 33 x + 27

\frac{\frac{5}{8} + \frac{3}{4}}{\frac{- 2}{3} - \frac{5}{6}}

2 \cdot 1 0^{- 10}

(5 y^{2} + 3 y) + (5 y - \frac{1}{4} y^{2}) + (\frac{1}{3} y^{2} + y)

\frac{42}{6}

What is expand (x+3)(3x^2+8x+9) ?
The solution to expand (x+3)(3x^2+8x+9) is 3x^3+17x^2+33x+27