Solve y=(x-1)(x+6)(x+13)(x+20)

$$y = ( x - 1 ) ( x + 6 ) ( x + 13 ) ( x + 20 )$$

Solve for y

$$y=\left(x-1\right)\left(x+6\right)\left(x+13\right)\left(x+20\right)$$

Solution Steps

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

$$y=\left(x^{2}+5x-6\right)\left(x+13\right)\left(x+20\right)$$

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

$$y=\left(x^{3}+18x^{2}+59x-78\right)\left(x+20\right)$$

Use the distributive property to multiply x^{3}+18x^{2}+59x-78 by x+20 and combine like terms.

$$y=x^{4}+38x^{3}+419x^{2}+1102x-1560$$