SOLUTION: Write each square as a trinomial 1. (n+5)^2 The answer is n^2+10n+25 I need help with figuring out how to actually do the problem. Thank you very much

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write each square as a trinomial 1. (n+5)^2 The answer is n^2+10n+25 I need help with figuring out how to actually do the problem. Thank you very much      Log On


   

Question 201486: Write each square as a trinomial
1. (n+5)^2
The answer is n^2+10n+25
I need help with figuring out how to actually do the problem.

Thank you very much
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28n%2B5%29%5E2 Start with the given expression.


%28n%2B5%29%28n%2B5%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28n%29%2B5%29%28highlight%28n%29%2B5%29 Multiply the First terms:%28n%29%2A%28n%29=n%5E2.


%28highlight%28n%29%2B5%29%28n%2Bhighlight%285%29%29 Multiply the Outer terms:%28n%29%2A%285%29=5%2An.


%28n%2Bhighlight%285%29%29%28highlight%28n%29%2B5%29 Multiply the Inner terms:%285%29%2A%28n%29=5%2An.


%28n%2Bhighlight%285%29%29%28n%2Bhighlight%285%29%29 Multiply the Last terms:%285%29%2A%285%29=25.


---------------------------------------------------
So we have the terms: n%5E2, 5%2An, 5%2An, 25


n%5E2%2B5%2An%2B5%2An%2B25 Now add every term listed above to make a single expression.


n%5E2%2B10%2An%2B25 Now combine like terms.


So %28n%2B5%29%5E2 FOILs to n%5E2%2B10%2An%2B25.


In other words, %28n%2B5%29%5E2=n%5E2%2B10%2An%2B25.