SOLUTION: I need help factoring polynomials.. Like squares and such. So, I guess here's #1: Find the product by using the difference of two squares- 45*55 Please help! Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help factoring polynomials.. Like squares and such. So, I guess here's #1: Find the product by using the difference of two squares- 45*55 Please help! Thank you!       Log On


   

Question 427819: I need help factoring polynomials..
Like squares and such. So, I guess here's #1:
Find the product by using the difference of two squares-
45*55
Please help! Thank you!
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

45*55
we can write, 45 = 50 -5 and 55 = 50+5
so, 45*55
=(50-5)(50+5)
= (50)^2 - (5)^2
= 2500- 25
= 2475
as we know, (a-b)(a+b) = a^2 -b^2