Answer:
c³ + cd³ + 3c²d + 3cd²
Step-by-step explanation:
(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.
(c+d)(c+d)(c+d)
You can only multiply 2 at a time so do the first two then the result and the third one.
Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd
= (c^2 + 2cd + d^2)(c+d)
= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3
Combine like terms
= c³ + 3c²d + 3cd² + cd³
