# Question #f8bcd

Oct 18, 2016

It is a way for students to remember how to find the product of two binomials.

#### Explanation:

The 'foil' method, stands for "Firsts, Outers, Inners, Lasts".

It is a way for students to remember how to find the product of two binomials. The advantages might be:

• It is a learnable process so that new or weak students have a way of knowing what to do next

• It is a method which can be repeated in any example of 2 terms multiplied by 2 terms.

• It is a reminder that 4 terms must be obtained from the multiplying.

• It is an extension of the distributive property, where 2 terms are being distributed across a bracket.

For example:

$\left(x + 3\right) \left(x - 4\right)$ will be multiplied to give

$\left(x \times x\right) + \left(x \times - 4\right) + \left(3 \times x\right) + \left(3 \times - 4\right)$
$\text{Firsts " + " outers" + " inners"+ " lasts}$

However it is limited to two binomials.