Question

Expand and Combine like terms: (4t^3-5)^2

Answer 1

Answer: 16t^6−40t^3+25 is the answer

first lets set the equation as a binomial *remember 2 binomial= trinomial*

so its going to look something like..........

(4t^3-5) (4t^3-5)

now we do the foil method so 4t^3* 4t^3= 16t^6 (add exponents)

do the same for the other terms:

4t^3*-5= -20t^3

-5*4t^3= -20t^3

-5*-5= 25

now the whole equation is...

16t^6-20t^3-20t^3+25 (combine like terms like -20t^3 and -20t^3)

therefor the answer is... 16t^6-40t^3+25