# How do you multiply (4x-√3)(4x+√3)?

##### 3 Answers

#### Explanation:

Use FOIL - firsts, outers, inners, lasts

first:

outer:

inner:

lasts :

Then add all the results

The

#### Explanation:

One can use the F.O.I.L method. This method is well known but it has the disadvantage of working only with the product of two binomials.

Given:

**Step 1.** Multiply the first terms:

**Step 2.** Multiply the outside terms:

**Step 3.** Multiply the inside terms:

**Step 4.** Multiply the last terms:

**Step 5.** Add all of the terms (please observe that this is a special case where the product of the inside terms and outside terms sum to zero):

I prefer the distributive method because it has the advantage of working with polynomials of any size.

Given:

**Step 1.** Distribute the second factor over the terms of the first factor:

Please observe that the above step can be done with any number of terms in either factor and which factor you choose to distribute does not matter.

**Step 2.** Use the distributive property

Please observe that we have the same terms that we obtained using the F.O.I.L. method.

**Step 3.** Combine like terms: