SOLUTION: Write answer without parentheses. (7w+5)^2

Algebra ->  Signed-numbers -> SOLUTION: Write answer without parentheses. (7w+5)^2      Log On


   

Question 182079: Write answer without parentheses.
(7w+5)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287w%2B5%29%5E2 Start with the given expression.


%287w%2B5%29%287w%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%287w%29%2B5%29%28highlight%287w%29%2B5%29 Multiply the First terms:%287%2Aw%29%2A%287%2Aw%29=49%2Aw%5E2.


%28highlight%287w%29%2B5%29%287w%2Bhighlight%285%29%29 Multiply the Outer terms:%287%2Aw%29%2A%285%29=35%2Aw.


%287w%2Bhighlight%285%29%29%28highlight%287w%29%2B5%29 Multiply the Inner terms:%285%29%2A%287%2Aw%29=35%2Aw.


%287w%2Bhighlight%285%29%29%287w%2Bhighlight%285%29%29 Multiply the Last terms:%285%29%2A%285%29=25.


---------------------------------------------------


49%2Aw%5E2%2B35%2Aw%2B35%2Aw%2B25 Now collect every term to make a single expression.


49%2Aw%5E2%2B70%2Aw%2B25 Now combine like terms.


So %287w%2B5%29%5E2 FOILs to 49%2Aw%5E2%2B70%2Aw%2B25.


In other words, %287w%2B5%29%5E2=49%2Aw%5E2%2B70%2Aw%2B25.