SOLUTION: Use the factors to compute the value of the following 1.) 25^2-15^2 2.) 62^2-38^2 3.) 97^2-3^2 4.) 150^2-149^2 5.) 1.5^2-0.5^2 6.) 102^2-98^2 7.) 303^2-297^2 8.) 2005^2-2

Algebra ->  Finance -> SOLUTION: Use the factors to compute the value of the following 1.) 25^2-15^2 2.) 62^2-38^2 3.) 97^2-3^2 4.) 150^2-149^2 5.) 1.5^2-0.5^2 6.) 102^2-98^2 7.) 303^2-297^2 8.) 2005^2-2      Log On


   



Question 1039129: Use the factors to compute the value of the following
1.) 25^2-15^2
2.) 62^2-38^2
3.) 97^2-3^2
4.) 150^2-149^2
5.) 1.5^2-0.5^2
6.) 102^2-98^2
7.) 303^2-297^2
8.) 2005^2-2004^2

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use the factors to compute the value of the following

1.) 25%5E2-15%5E2 = (25-15)*(25+15) = 10*40 = 400.  <--- Use the formula a%5E2+-+b%5E2%29 = (a-b)*(a+b).

The rest of examples are on the same pattern. Do them yourself.

2.) 62^2-38^2

3.) 97^2-3^2

4.) 150^2-149^2

5.) 1.5^2-0.5^2

6.) 102^2-98^2

7.) 303^2-297^2

8.) 2005^2-2004^2

Regarding this formula,  a%5E2+-+b%5E2 = %28a-b%29%2A%28a%2Bb%29,  see the lesson  The difference of squares formula  in this site.