If m = t^3 for any positive integer t, and if w = m^2 + m, what is w in terms of t?

Question

Answers are

(A) t^2 + t

(B) t^3

(C) t^3 + t 

(D) t^5 + t^3

(E) t^6 + t^3

Answer 1

Just plug in the value they give you for m into the formula for w and solve for w. 

w = m^2 + m

m = t^3

 

w = (t^3)^2 + t^3

 

Then Simplify: 

 

w = t^6 + t^3