SOLUTION: what is the answer to this math problem? thanks for your help. homework is hard sometimes! Find the Product (x + 5)^2

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: what is the answer to this math problem? thanks for your help. homework is hard sometimes! Find the Product (x + 5)^2      Log On


   

Question 72937: what is the answer to this math problem? thanks for your help. homework is hard sometimes!
Find the Product
(x + 5)^2
Found 2 solutions by Cintchr, funmath:
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x+%2B+5%29%5E2+
+%28x+%2B+5%29%28x%2B5%29+

F: +x+%2A+x+=+x%5E2+
O: +x+%2A+5+=+5x+
I: +5+%2A+x+=+5x+
L: +5+%2A+5+=+25+
add like terms
+x%5E2+%2B+10x+%2B+25+

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the Product
(x + 5)^2
%28x%2B5%29%5E2
This is the same thing as:
%28x%2B5%29%28x%2B5%29
Distribute the x in the first set of parentheses through the second, then distribute the 5 in the first set of parentheses through the second and combine like terms.
x%28x%2B5%29%2B5%28x%2B5%29
x%28x%29%2Bx%285%29%2B5%28x%29%2B5%285%29
Some people call the above FOIL, because its the First terms, Outer terms, Inner terms, and Last terms.
x%5E2%2B5x%2B5x%2B25
highlight%28x%5E2%2B10x%2B25%29
Happy Calculating!!!!