What is expand-3x(7x^2-4x+9) ?

The solution to expand-3x(7x^2-4x+9) is -21x^3+12x^2-27x

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expand-3x(7x^2-4x+9)

expand

- 3 x (7 x^{2} - 4 x + 9)

- 21 x^{3} + 12 x^{2} - 27 x

Solution steps

- 3 x (7 x^{2} - 4 x + 9)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- 3 x (7 x^{2} - 4 x + 9) = - 3 x \cdot 7 x^{2} - 3 x (- 4 x) - 3 x \cdot 9

= - 3 x \cdot 7 x^{2} - 3 x (- 4 x) - 3 x \cdot 9

Simplify

- 3 x \cdot 7 x^{2} - 3 x (- 4 x) - 3 x \cdot 9 : - 21 x^{3} + 12 x^{2} - 27 x

= - 21 x^{3} + 12 x^{2} - 27 x

\frac{4}{9} + \frac{6}{18} - \frac{5}{3}

3 \cdot (- 2^{2})

3 \times 2 \times 2

\frac{6}{2}

- 2 \frac{3}{4} \div \frac{5}{- 9}

What is expand-3x(7x^2-4x+9) ?
The solution to expand-3x(7x^2-4x+9) is -21x^3+12x^2-27x