Solve y=(x-10)(x-5)(x+1)(x+8)(x+16)

$$y = ( x - 10 ) ( x - 5 ) ( x + 1 ) ( x + 8 ) ( x + 16 )$$

Solve for y

$$y=\left(x-10\right)\left(x-5\right)\left(x+1\right)\left(x+8\right)\left(x+16\right)$$

Solution Steps

Use the distributive property to multiply x-10 by x-5 and combine like terms.

$$y=\left(x^{2}-15x+50\right)\left(x+1\right)\left(x+8\right)\left(x+16\right)$$

Use the distributive property to multiply x^{2}-15x+50 by x+1 and combine like terms.

$$y=\left(x^{3}-14x^{2}+35x+50\right)\left(x+8\right)\left(x+16\right)$$

Use the distributive property to multiply x^{3}-14x^{2}+35x+50 by x+8 and combine like terms.

$$y=\left(x^{4}-6x^{3}-77x^{2}+330x+400\right)\left(x+16\right)$$

Use the distributive property to multiply x^{4}-6x^{3}-77x^{2}+330x+400 by x+16 and combine like terms.

$$y=x^{5}+10x^{4}-173x^{3}-902x^{2}+5680x+6400$$