The dimensions of a rectangular prism are n, n + 7, and n + 8. Use the formula V = l ∙ w ∙ h to write a polynomial in standard form for the volume of the prism. A. 3n + 15
B. 3n + 56
C. n2 + n + 56
D. n3 + 15n2 + 56n

46.2+112.3

step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

to complete this square you have to rotate about the origin 270 degrees clockwise.