^{2}

^{2 }-3x -36.

whats the difference between foiling and distributing?

Tutors, sign in to answer this question.

"Foiling" IS distributing.

The FOIL method is used to multiply binomials, or to multiply (x + 3) by (3x -12) for example.

But FOILing can ONLY be used with binomials. Let find out why:

FOILing means first multiplying the FIRST terms together, or x and 3x to get 3x^{2}

Then multiply the OUTSIDE terms together, or x and -12 to get -12x.

Then multiply the INSIDE terms together, or 3 and 3x to get 9x.

The multiply the LAST terms together, or 3 and -12 to get -36.

Simplify by adding like terms to get 3x^{2 }-3x -36.

If we were to use distribution to multiply (x + 3) by (3x -12) we'd multiply x by 3x.

Then multiply x by -12.

Then multiply 3 by 3x.

Then multiply 3 by -12.

So FOILing IS distributing, but one cannot use the FOIL method on anything else but binomials.

i.e. we can't use the FOIL method to find the product of a trinomial and an binomial.

f(n) = (4n+3)(4n+2)(4n+1)(4n)(4n-1)(4n-2)

FOIL quickly fails you.

But here’s an example of using the Distributive Property in a methodical way that provides error checking as you go:

http://www.wyzant.com/resources/answers/30917/simplify_the_expression

The foil method is best used when the expression is in the form (x+a)*(x+b), where a and b are numbers. In this case, you need to go x*x + xa +xb + ab.

Distribution would be when there is only one term in one of the parenthesis, such as in the case of x*(x+3), in which case, it would be x*x + x*3.

(x+4)(x-3) = x^2 + x - 12 << FOIL

x*(x+3) = x^2 + 3x << Distribution

(x+4)(x-3) = x^2 + x - 12 << FOIL

x*(x+3) = x^2 + 3x << Distribution

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

## Comments

_{1}= -a ( X +b) = 0 X_{2}= -b_{1 }, X_{2 ) into f( X)}_{1 }+ X_{2 ) X + X}_{1X2 }(2)_{1}+ X_{2 = - b/a }X_{1 }. X_{2= c/a}(3)