Mulitiply. (c+d)(c^2-cd+d^2)=c^3+d^3

is this correct.

That's the answer I got.

Thanks

To check if the expression (c+d)(c^2-cd+d^2) is equal to c^3+d^3, we can expand both sides of the equation and simplify.

Expanding (c+d)(c^2-cd+d^2):

(c+d)(c^2-cd+d^2) = c(c^2-cd+d^2) + d(c^2-cd+d^2)
= c^3 - c^2d + cd^2 + cd^2 - c^2d + d^3
= c^3 - c^2d - c^2d + 2cd^2 + d^3
= c^3 - 2c^2d + 2cd^2 + d^3

Expanding c^3+d^3:

c^3+d^3

Thus, the expanded form of (c+d)(c^2-cd+d^2) is equal to c^3 - 2c^2d + 2cd^2 + d^3.

Therefore, the statement (c+d)(c^2-cd+d^2) = c^3+d^3 is not correct.