Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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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
: 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)
Answer by jim_thompson5910(9403) About Me  (Show Source):
You can put this solution on YOUR website!

(4b+1/2)(8b-3/4) Start with the given expression.


Now let's FOIL the expression.


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


(highlight(4b)+1/2)(highlight(8b)-3/4) Multiply the First terms:(4*b)*(8*b)=32*b^2.


(highlight(4b)+1/2)(8b+highlight(-3/4)) Multiply the Outer terms:(4*b)*(-3/4)=-3*b.


(4b+highlight(1/2))(highlight(8b)-3/4) Multiply the Inner terms:(1/2)*(8*b)=4*b.


(4b+highlight(1/2))(8b+highlight(-3/4)) Multiply the Last terms:(1/2)*(-3/4)=-3/8.


32*b^2-3*b+4*b-3/8 Now collect every term to make a single expression.


32*b^2+b-3/8 Now combine like terms.


So (4b+1/2)(8b-3/4) FOILS to 32*b^2+b-3/8.


In other words, (4b+1/2)(8b-3/4)=32*b^2+b-3/8.