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Brrunno [24]
3 years ago
5

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

Mathematics
1 answer:
quester [9]3 years ago
6 0

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)

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