# SAT Math : How to use FOIL with Exponents

## Example Questions

### Example Question #1161 : Algebra

If , which of the following could be the value of ?

Explanation:

Take the square root of both sides.

Add 3 to both sides of each equation.

### Example Question #1162 : Algebra

Simplify:

Explanation:

= x3y3z3 + x2y + x0y0 + x2y

x3y3z3 + x2y + 1 + x2y

x3y3z3 + 2x2y + 1

### Example Question #3 : Exponents And The Distributive Property

Use the FOIL method to simplify the following expression:

Explanation:

Use the FOIL method to simplify the following expression:

Step 1: Expand the expression.

Step 2: FOIL

First:

Outside:

Inside:

Last:

Step 2: Sum the products.

### Example Question #1 : How To Use Foil With Exponents

Square the binomial.

Explanation:

We will need to FOIL.

First:

Inside:

Outside:

Last:

Sum all of the terms and simplify.

### Example Question #1 : Exponents And The Distributive Property

Which of the following is equivalent to 4c(3d)– 8c3d + 2(cd)4?

cd(54c * d– 4c+ c* d2)

2(54d– 4c+ 2c* d3)

2cd(54d2 – 4c+ c* d3)

2cd(54d2 – 4c+ c* d3)

Explanation:

First calculate each section to yield 4c(27d3) – 8c3d + 2c4d= 108cd– 8c3d + 2c4d4. Now let's factor out the greatest common factor of the three terms, 2cd, in order to get:  2cd(54d– 4c+ c3d3).