The binomial is given to be:
[tex]16x^6-25[/tex]
Step 1: Apply exponent rules to the two terms
[tex]\begin{gathered} 16x^6=(4x^3)^2 \\ 25=5^2 \end{gathered}[/tex]
Therefore, the binomial becomes:
[tex]\Rightarrow(4x^3)^2-5^2[/tex]
Step 2: Apply the Difference of Two Squares formula given to be
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Therefore, the expression becomes:
[tex](4x^3)^2-5^2=(4x^3-5)(4x^3+5)[/tex]
The THIRD OPTION is the correct option.
