Answer:
C. Square of Binomial
Step-by-step explanation:
To prove the identity you should use square of Binomial that states the following:
\((a+b)^{2}=a^{2}+2ab+b^{2}\)
Lets prove it, so first take the equation to solve:
\((10+6)^{2}\)
Then square the first term:
\((10+6)^{2}=10^{2}\)
Then multiply by 2 the first and second terms:
\((10+6)^{2}=10^{2}+2(10)(6)\)
Finally square the second term:
\((10+6)^{2}=10^{2}+2(10)(6)+6^{2}\)
Solve the values:
\((10+6)^{2}=100+2(10)(6)+6^{2}\)
\((10+6)^{2}=100+120+6^{2}\)
\((10+6)^{2}=100+120+36\)
\((10+6)^{2}=256\)
And prove the polynomial identity:
\(16^{2}=256\)
