59.8k views
4 votes
Factor completely.
4p² - 25q² =

1 Answer

3 votes

Answer:

(2p+5q) and (2p-5q)

Explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

Prime number 2 to the power of 2 equals 4.

n order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

Prime number 5 to the power of 2 equals 25.

So it should look like this

Factor completely. 4p² - 25q² =-example-1
User Emile
by
7.8k points