How do you factor 81w squared - p squared?

Answer 1

81w2 - p2 = (9w + p) (9w - p)

because 81w2 - p2 is the difference of squares. To factor the difference of squares, square root both terms and write the binomial twice:

(9w ? p) (9w ? p)

Now, to replace the question marks, one binomial has to replace it with the plus sign, while the other binomial gets a minus sign:

(9w + p) (9w - p)