SOLUTION: Can you please show me the steps on how to do this problem (5x-2)(x+3)

Question 124025This question is from textbook Algebra 1
: Can you please show me the steps on how to do this problem (5x-2)(x+3) This question is from textbook Algebra 1

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I presume you want to multiply the two binomials together to obtain a single trinomial.

The method is called FOIL. That stands for First, Outside, Inside, Last.

Step 1.

Multiply the FIRST terms of the binomials together: . Save that for later.

Step 2:
Multiply the OUTSIDE terms together: . Save that for later.

Step 3:
Multiply the INSIDE terms together: Notice that I kept the minus sign with the 2. Save that result for later also.

Step 4:
Multiply the LAST terms together:

Step 5:
It is now later. Time to take all 4 of your partial results and put them together. Make sure you don't make a mistake writing down a sign.

Step 6:
Collect like terms. There are two terms with just x in them, so add the coefficents

Done.

Recap:

Actually, it doesn't make any difference in which order you multiply the pairs of terms, as long as you multiply all four pairs. The FOIL method could just as easily have been Outside, Last, Inside, First, except that OLIF doesn't spell anything so it would be harder to remember.
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