ACT Math › Exponents and the Distributive Property
Distribute and simplify:
To FOIL this binomial distribution, we simply distribute the terms in a specific order:
Multiply the First terms:
Multiply the Outer terms:
Multiply the Inner terms:
Multiply the Last 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.
Distribute and simplify:
To FOIL this binomial distribution, we simply distribute the terms in a specific order:
Multiply the First terms:
Multiply the Outer terms:
Multiply the Inner terms:
Multiply the Last 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.
The concept of FOIL can be applied to both an exponential expression and to an exponential modifier on an existing expression.
For all ,
= __________.
Using FOIL, we see that
First =
Outer =
Inner =
Last =
Remember that terms with like exponents are additive, so we can combine our middle terms:
Now order the expression from the highest exponent down:
Thus,
The concept of FOIL can be applied to both an exponential expression and to an exponential modifier on an existing expression.
For all ,
= __________.
Using FOIL, we see that
First =
Outer =
Inner =
Last =
Remember that terms with like exponents are additive, so we can combine our middle terms:
Now order the expression from the highest exponent down:
Thus,
Use the FOIL method to simplify the following expression:
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.
Use the FOIL method to simplify the following expression:
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.
Distribute and simplify:
To FOIL this binomial distribution, we simply distribute the terms in a specific order:
Multiply the First terms:
Multiply the Outer terms:
Multiply the Inner terms:
Multiply the Last 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.
Distribute and simplify:
To FOIL this binomial distribution, we simply distribute the terms in a specific order:
Multiply the First terms:
Multiply the Outer terms:
Multiply the Inner terms:
Multiply the Last 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.
If , what is the value of the equation
?
Plug in for
in the equation
That gives:
Then solve the computation inside the parenthesis:
The answer should then be
If , what is the value of the equation
?
Plug in for
in the equation
That gives:
Then solve the computation inside the parenthesis:
The answer should then be