SOLUTION: Using FOIL, multiply the expression (3x+2)(3x-2) Show that a particular factoring formula can be used to get the same answer. Thanks so much! I'm lost again!

Question 190672This question is from textbook
: Using FOIL, multiply the expression (3x+2)(3x-2) Show that a particular factoring formula can be used to get the same answer. Thanks so much! I'm lost again! This question is from textbook

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

Start with the given expression.

Now let's FOIL the expression.

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

Multiply the First terms:.

Multiply the Outer terms:.

Multiply the Inner terms:.

Multiply the Last terms:.

---------------------------------------------------
So we have the terms: , , ,

Now add every term listed above to make a single expression.

Now combine like terms.

So FOILs to .

In other words, .

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

Now, let's factor the answer to check our work:

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

So this confirms our answer
RELATED QUESTIONS
Using FOIL, multiply the expression (3x+2)(3x-2) Show that a particular factoring formula (answered by jim_thompson5910)

Using FOIL, simplify the expression "(3x + 2)(3x - 2)". Show that a particular factoring... (answered by QueenVoda,scoop)

Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring... (answered by MathLover1,lynnlo)

Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring... (answered by rapaljer)

Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring... (answered by richwmiller)

Using FOIL, simplify the expression. Show that a particular factoring formula leads to... (answered by checkley71)

Please help! 1. Using one of the laws of exponents, prove that nay number raised to... (answered by gonzo)

1. Using one of the laws of exponents, prove that any number raised to the power 0 is 1. (answered by stanbon)

x^2-3x-6=0 (completing the square) and -6x^2=3x+2(using the quadratic formula) (answered by solver91311)