Solve y=(x-1)(x+6)(x+13)*1/12

$$y = ( x - 1 ) ( x + 6 ) ( x + 13 ) \times \frac { 1 } { 12 }$$

Solve for y

$$y=\frac{\left(x-1\right)\left(x+6\right)\left(x+13\right)}{12}$$

Solution Steps

Use the distributive property to multiply x-1 by x+6 and combine like terms.

$$y=\left(x^{2}+5x-6\right)\left(x+13\right)\times \frac{1}{12}$$

Use the distributive property to multiply x^{2}+5x-6 by x+13 and combine like terms.

$$y=\left(x^{3}+18x^{2}+59x-78\right)\times \frac{1}{12}$$

Use the distributive property to multiply x^{3}+18x^{2}+59x-78 by \frac{1}{12}.

$$y=\frac{1}{12}x^{3}+\frac{3}{2}x^{2}+\frac{59}{12}x-\frac{13}{2}$$