Question

Need quick help, Will give medal!:

which polynomial identity will prove that 49 = (2+5)^2?

Is it difference of squares, Difference of cubes, Sum of cubes or square of binomial?

Answer 1

sqaure of binomial. Difference of anything involves subtraction, and 2/5 are both not perfect cubes

Answer 2

\[49=7^2\]

Answer 3

(2+5)^2 = 2^2*5^0+2^1*5^1+2^0*5^2=4+10+25=49, using the binomial theorem:
http://en.wikipedia.org/wiki/Binomial_theorem

A binomial means two terms. The result of which is squared.