Answer:
The factored form is:
[tex]4(5v + 9)(5v - 9)[/tex]
Step-by-step explanation:
The given expression is:
[tex]100 {v}^{2} - 324[/tex]
The Greatest Common Factor is 4:
We factor the GCF to get
[tex]4(25 {v}^{2} - 81)[/tex]
We rewrite the expression within the parenthesis as difference of two squares.
[tex]4(( {5v})^{2} - {9}^{2} )[/tex]
Recall that: a²-b²=(a-b)(a+b)
This implies that
[tex]4(5v + 9)(5v - 9)[/tex]
