Algebra 1 : Algebra 1
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #161 : How To Use Foil In The Distributive Property
Factor the following expression.
For an expression in the form 
In the case of
3 and 4 fit the requirements. Therefore, our answer looks like:
Example Question #162 : How To Use Foil In The Distributive Property
Factor the following expression.
For an expression in the form 
In the case of
Example Question #4981 : Algebra 1
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Example Question #2 : How To Use The Grid Method For Foil
Multiply:
To multiply two binomials, both terms in the first binomial need to be multiplied with both terms in the second binomial. A good way to make sure that all of the pairs are multiplied is to set up the box/grid:
In each empty box, multiply the intersecting terms:
Now, combine like terms. 3x and 8x are both terms with x, so we can add them to be 11x.
Final answer [in descending order of powers of x:
Example Question #2 : How To Use The Grid Method For Foil
Multiply:
To multiply two binomials, both terms in the first binomial need to be multiplied with both terms in the second binomial. A good way to make sure that all of the pairs are multiplied is to set up the box/grid:
In each empty box, multiply the intersecting terms:
Now, combine like terms. -6x and 4x are both terms with x, so we can add them to be -2x.
Final answer:
Example Question #3 : How To Use The Grid Method For Foil
Use the grid method to distribute and simply 
Top left corner:
Top right corner:
Bottom left corner:
Bottom right corner:
Add along the diagonal:
Combining our terms:
Example Question #4 : How To Use The Grid Method For Foil
Expand 
Top left corner:
Top right corner:
Bottom left corner:
Bottom right corner:
Add along the pink diagonal:
Combining our terms:
Example Question #3 : How To Use The Grid Method For Foil
Expand 
Top left corner:
Top right corner:
Middle left:
Middle right:
Bottom left corner:
Bottom right corner:
Add along the first (pink) diagonal:
Add along the second (blue) diagonal:
Combining our terms:
Example Question #4 : How To Use The Grid Method For Foil
Expand 
Top left corner:
Top right corner:
Bottom left corner:
Bottom right corner:
Add along the (pink) diagonal:
Combining our terms:
Example Question #4 : How To Use The Grid Method For Foil
Expand 
Top left corner:
Top right corner:
Bottom left corner:
Bottom right corner:
Add along the (pink) diagonal:
Combining our terms:
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