What is expand (5x+2)(x^2-3x+6) ?

The solution to expand (5x+2)(x^2-3x+6) is 5x^3-13x^2+24x+12

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expand (5x+2)(x^2-3x+6)

expand

(5 x + 2) (x^{2} - 3 x + 6)

5 x^{3} - 13 x^{2} + 24 x + 12

Solution steps

(5 x + 2) (x^{2} - 3 x + 6)

Distribute parentheses

= 5 x x^{2} + 5 x (- 3 x) + 5 x \cdot 6 + 2 x^{2} + 2 (- 3 x) + 2 \cdot 6

Simplify

5 x x^{2} + 5 x (- 3 x) + 5 x \cdot 6 + 2 x^{2} + 2 (- 3 x) + 2 \cdot 6 : 5 x^{3} - 13 x^{2} + 24 x + 12

= 5 x^{3} - 13 x^{2} + 24 x + 12

3 x (a - 2) - 2 y (a - 2)

\frac{3 x ^{2}}{x - 1} - \frac{1 + x}{2 x ^{2} + 1}

\frac{21}{6}

(x - 1) (x + 2) (x - 3)

\frac{1}{7}

What is expand (5x+2)(x^2-3x+6) ?
The solution to expand (5x+2)(x^2-3x+6) is 5x^3-13x^2+24x+12