Question

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

Answer 1

The factored form is:

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

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)`