### All ACT Math Resources

## Example Questions

### Example Question #81 : Exponents

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms). In this case, no two terms are compatible.

Arrange your answer in descending exponential form, and you're done.

### Example Question #82 : Exponents

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms).

Arrange your answer in descending exponential form, and you're done.

### Example Question #83 : Exponents

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms).

Arrange your answer in descending exponential form, and you're done.

### Example Question #84 : Exponents

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

A clever eye might spot that this binomial takes the form , which means you can jump straight to as the answer. But let's look at it in detail below.

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms).

Arrange your answer in descending exponential form, and you're done.

### Example Question #85 : Exponents

Distribute and simplify:

**Possible Answers:**

**Correct answer:**

To FOIL this binomial distribution, we simply distribute the terms in a specific order:

Multiply the **F**irst terms:

Multiply the **O**uter terms:

Multiply the **I**nner terms:

Multiply the **L**ast terms:

Lastly, combine any terms that allow this (usually, but not always, the two middle terms). In this case, no two terms are compatible.

Arrange your answer in descending exponential form, and you're done.

Certified Tutor

Certified Tutor