What is expand 5x(3x^2+2x-3) ?

The solution to expand 5x(3x^2+2x-3) is 15x^3+10x^2-15x

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expand 5x(3x^2+2x-3)

expand

5 x (3 x^{2} + 2 x - 3)

15 x^{3} + 10 x^{2} - 15 x

Solution steps

5 x (3 x^{2} + 2 x - 3)

Apply the distributive law:

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

5 x (3 x^{2} + 2 x - 3) = 5 x \cdot 3 x^{2} + 5 x \cdot 2 x + 5 x (- 3)

= 5 x \cdot 3 x^{2} + 5 x \cdot 2 x + 5 x (- 3)

Simplify

5 x \cdot 3 x^{2} + 5 x \cdot 2 x + 5 x (- 3) : 15 x^{3} + 10 x^{2} - 15 x

= 15 x^{3} + 10 x^{2} - 15 x

- \frac{1}{10} + \frac{7}{8}

- \frac{1}{- 5}

\frac{- 45}{5}

- \frac{1}{- \frac{1}{2}}

415 \cdot (- 4) 3

What is expand 5x(3x^2+2x-3) ?
The solution to expand 5x(3x^2+2x-3) is 15x^3+10x^2-15x