Question

Write a polynomial expression that shows the volume of the cube shown. [Important Homework]

Answer 1

Answer:

8x^3 + 36x^2 + 54x + 27

Step-by-step explanation:

w. k. t, volume of cube = a^3

(2x + 3)^3 = 2x^3 + 3(2x)^2 + 3(2x)(3)^2 + (3)^3

= 8x^3 +36x^2 +54x +27

since (a+b)^3 = a^3 + 3(a^2)(b) +3(a)(b^2) + b^3