What is expand (3x^2+18x+27)(x-6) ?

The solution to expand (3x^2+18x+27)(x-6) is 3x^3-81x-162

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expand (3x^2+18x+27)(x-6)

expand

(3 x^{2} + 18 x + 27) (x - 6)

3 x^{3} - 81 x - 162

Solution steps

(3 x^{2} + 18 x + 27) (x - 6)

Distribute parentheses

= 3 x^{2} x + 3 x^{2} (- 6) + 18 xx + 18 x (- 6) + 27 x + 27 (- 6)

Simplify

3 x^{2} x + 3 x^{2} (- 6) + 18 xx + 18 x (- 6) + 27 x + 27 (- 6) : 3 x^{3} - 81 x - 162

= 3 x^{3} - 81 x - 162

- 9 (- 2)

- 9 (- 4)

(x + 1) (x + 1) (x - 1) (x - 1)

3 \cdot 1 0^{- 10}

\frac{1}{3} - \frac{7}{8}

What is expand (3x^2+18x+27)(x-6) ?
The solution to expand (3x^2+18x+27)(x-6) is 3x^3-81x-162