How do you multiply (c^2t^2+1)^2?

1 Answer
Jul 3, 2015

You can rewrite the expression as multiplication between two binomials, and use the FOIL method to multiply.

Explanation:

(c^2t^2+1)^2=(c^2t^2+1)(c^2t^2+1)

The FOIL method of multiplying indicates the order in which you multiply the terms in the binomials.

http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.htmlhttp://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.html

(c^2t^2+1)(c^2t^2+1) =

c^2t^2*c^2t^2+c^2t^2*1+1*c^2t^2+1*1c^4t^4+2c^2t^2+1 =

c^4t^4+2c^2t^2+1