Question

Find an expression to represent the
volume of the rectangular prism below,

Answer 1

Explanation:

`volume=(x^(2) +11x+30)/(x^(2) +7x+6) * (3x)/(8) * (x^(2) -1)/(6x^3+30x^(2) ) \\=(x^(2) +6x+5x+30)/(x^(2) +6x+x+6) * (3x)/(8) * ((x+1)(x-1))/(6x^(2) (x+5)) \\=(x(x+6)+5(x+6))/(x(x+6)+1(x+6)) * (3x)/(8) * ((x+1)(x-1))/(6x^(2) (x+5)) \\=((x+6)(x+5))/((x+6)(x+1)) * (3x)/(8) * ((x+1)(x-1))/(6x^(2) (x+5)) \\=(x-1)/(16x)`