Solve y=(5-x)(x+2)(x-3)(2x-1)(x+1)

$$y = ( 5 - x ) ( x + 2 ) ( x - 3 ) ( 2 x - 1 ) ( x + 1 )$$

Solve for y

$$y=\left(5-x\right)\left(x-3\right)\left(2x-1\right)\left(x+1\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply 5-x by x+2 and combine like terms.

$$y=\left(3x+10-x^{2}\right)\left(x-3\right)\left(2x-1\right)\left(x+1\right)$$

Use the distributive property to multiply 3x+10-x^{2} by x-3 and combine like terms.

$$y=\left(6x^{2}+x-30-x^{3}\right)\left(2x-1\right)\left(x+1\right)$$

Use the distributive property to multiply 6x^{2}+x-30-x^{3} by 2x-1 and combine like terms.

$$y=\left(13x^{3}-4x^{2}-61x+30-2x^{4}\right)\left(x+1\right)$$

Use the distributive property to multiply 13x^{3}-4x^{2}-61x+30-2x^{4} by x+1 and combine like terms.

$$y=11x^{4}+9x^{3}-65x^{2}-31x+30-2x^{5}$$