SOLUTION: Please clarify the solution for me. Thank you find the product (10+7x)^2 I believe it is 100+49x^2 is this correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please clarify the solution for me. Thank you find the product (10+7x)^2 I believe it is 100+49x^2 is this correct?      Log On


   

Question 135255: Please clarify the solution for me. Thank you
find the product
(10+7x)^2
I believe it is 100+49x^2 is this correct?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, that's not correct.
You need to use the FOIL method (First, Outer, Inner, Last)
%2810%2B7x%29%5E2=%2810%2B7x%29%2810%2B7x%29
First:%2810%29%2810%29=100
Outer:%2810%29%287x%29=70x
Inner:%287x%29%2810%29=70x
Last:%287x%29%287x%29=49x%5E2
Add them all together.
%2810%2B7x%29%5E2=100%2B70x%2B70x%2B49x%5E2
%2810%2B7x%29%5E2=49x%5E2%2B140x%2B100