Question

What is (c+d) to the power of 3​

Answer 1

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