SOLUTION: I am having a serious problem figuring out this problem. Can someone please help me? The problem is multiply (4b+1/2)(8b-3/4)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I am having a serious problem figuring out this problem. Can someone please help me? The problem is multiply (4b+1/2)(8b-3/4)      Log On


   

Question 151060This question is from textbook Intermediate Algebra
: I am having a serious problem figuring out this problem. Can someone please help me?
The problem is multiply (4b+1/2)(8b-3/4) This question is from textbook Intermediate Algebra

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

%284b%2B1%2F2%29%288b-3%2F4%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%284b%29%2B1%2F2%29%28highlight%288b%29-3%2F4%29 Multiply the First terms:%284%2Ab%29%2A%288%2Ab%29=32%2Ab%5E2.


%28highlight%284b%29%2B1%2F2%29%288b%2Bhighlight%28-3%2F4%29%29 Multiply the Outer terms:%284%2Ab%29%2A%28-3%2F4%29=-3%2Ab.


%284b%2Bhighlight%281%2F2%29%29%28highlight%288b%29-3%2F4%29 Multiply the Inner terms:%281%2F2%29%2A%288%2Ab%29=4%2Ab.


%284b%2Bhighlight%281%2F2%29%29%288b%2Bhighlight%28-3%2F4%29%29 Multiply the Last terms:%281%2F2%29%2A%28-3%2F4%29=-3%2F8.


32%2Ab%5E2-3%2Ab%2B4%2Ab-3%2F8 Now collect every term to make a single expression.


32%2Ab%5E2%2Bb-3%2F8 Now combine like terms.


So %284b%2B1%2F2%29%288b-3%2F4%29 FOILS to 32%2Ab%5E2%2Bb-3%2F8.


In other words, %284b%2B1%2F2%29%288b-3%2F4%29=32%2Ab%5E2%2Bb-3%2F8.