All ACT Math Resources
Example Questions
Example Question #2631 : Act Math
What is ?
The simple formula for difference of two squares is:
.
To see this, you can also FOIL out
Multiplying the first terms, outer terms, inner terms, and last terms results in the following.
Gathering like terms the x's cancel out.
Example Question #47 : Foil
What is ?
Diffference of two squares formula,
Note that , negative cancels out.
You can also FOIL:
Multiplying the first terms, outer terms, inner terms, and last terms results in the following.
Example Question #1141 : Algebra
Multiply the complex numbers:
.
Expanding out gives .
We know that so when we substitute that in we get .
Example Question #1142 : Algebra
Solve for .
To solve this equation, first distribute on the right side of the equation.
Then, subtract from both sides.
Then divide both sides by .
Another method for solving this problem is to plug in the answer choices and solve.
Example Question #1143 : Algebra
FOIL by using the distributive property.
Now, simplify.
Example Question #1144 : Algebra
Distribute:
FOIL using the distributive property.
Simplify.
Example Question #52 : Foil
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.
Example Question #53 : Distributive Property
What is the simplified form of ?
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.
Notice that this answer is also a difference of squares.
Example Question #54 : 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.
Example Question #55 : 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.
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