133k views
5 votes
Factor the polynomial 81p^2 - 25q^2

User Nicos
by
7.1k points

2 Answers

2 votes

Answer:

(9p -5q)(9p +5q)

Explanation:

User Alla
by
7.4k points
6 votes

Answer:

(9p -5q)(9p +5q)

Explanation:

The difference of squares is a special form with the factoring ...

... a^2 -b^2 = (a -b)(a +b)

Here, you have ...

  • a = 9p . . . . . . you recognize that 81p^2 = (9p)^2
  • b = 5q

so the factoring is ...

... 81p^2 - 25q^2 = (9p -5q)(9p +5q)

User Daniel Myers
by
8.5k points