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

The solution to expand (3x-1)(3x^2+4x+6) is 9x^3+9x^2+14x-6

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

expand

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

9 x^{3} + 9 x^{2} + 14 x - 6

Solution steps

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

Distribute parentheses

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

Simplify

3 x \cdot 3 x^{2} + 3 x \cdot 4 x + 3 x \cdot 6 - 1 \cdot 3 x^{2} - 1 \cdot 4 x - 1 \cdot 6 : 9 x^{3} + 9 x^{2} + 14 x - 6

= 9 x^{3} + 9 x^{2} + 14 x - 6

2^{1 + 1}

\frac{- 4 x}{x}

112 - 63 + 175 + 252

x^{5} + x^{3}

x^{2} (3 y^{3})

What is expand (3x-1)(3x^2+4x+6) ?
The solution to expand (3x-1)(3x^2+4x+6) is 9x^3+9x^2+14x-6