Question

Factor the polynomial, if possible. If the polynomial cannot be factored, write prime. 100v2 – 324

Answer 1

Answer:

The factored form is:

$4(5v + 9)(5v - 9)$

Step-by-step explanation:

The given expression is:

$100 {v}^{2} - 324$

The Greatest Common Factor is 4:

We factor the GCF to get

$4(25 {v}^{2} - 81)$

We rewrite the expression within the parenthesis as difference of two squares.

$4(( {5v})^{2} - {9}^{2} )$

Recall that: a²-b²=(a-b)(a+b)

This implies that

$4(5v + 9)(5v - 9)$