Question

Factor using the "difference of squares" form for the binomial

Answer 1

The binomial is given to be:

`16x^6-25`

Step 1: Apply exponent rules to the two terms

`\begin{gathered} 16x^6=(4x^3)^2 \\ 25=5^2 \end{gathered}`

Therefore, the binomial becomes:

`\Rightarrow(4x^3)^2-5^2`

Step 2: Apply the Difference of Two Squares formula given to be

`a^2-b^2=(a-b)(a+b)`

Therefore, the expression becomes:

`(4x^3)^2-5^2=(4x^3-5)(4x^3+5)`

The THIRD OPTION is the correct option.