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Example Questions
Example Question #1 : How To Multiply Binomials With The Distributive Property
Simplify:
None of the other answers are correct.
First, distribute –5 through the parentheses by multiplying both terms by –5.
Then, combine the like-termed variables (–5x and –3x).
Example Question #2 : How To Multiply Binomials With The Distributive Property
Expand:
First, FOIL:
Simplify:
Distribute the through the parentheses:
Rewrite to make the expression look like one of the answer choices:
Example Question #4381 : Algebra 1
Simplify the expression.
None of the other answers are correct.
When simplifying polynomials, only combine the variables with like terms.
can be added to
, giving
.
can be subtracted from
to give
.
Combine both of the terms into one expression to find the answer:
Example Question #4382 : Algebra 1
Simplify the following expression.
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms to solve.
and
have no like terms and cannot be combined with anything.
5 and -5 can be combined however:
This leaves us with .
Example Question #2 : How To Subtract Polynomials
Simplify the following:
None of the other answers are correct.
First, FOIL the two binomials:
Then distribute the through the terms in parentheses:
Combine like terms:
Example Question #101 : Basic Single Variable Algebra
Simplify the following expression:
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms together:
has no like terms.
Combine these terms into one expression to find the answer:
Example Question #1 : How To Multiply Polynomials
Simplify the expression.
The expression cannot be simplified further.
When multiplying exponential components, you must add the powers of each term together.
Example Question #2 : How To Multiply Polynomials
None of the other answers are correct.
When multiplying polynomials, add the powers of each like-termed variable together.
For x: 5 + 2 = 7
For y: 17 + 2 = 19
Therefore the answer is .
Example Question #73 : Polynomials
Simplify the following:
This fraction cannot be simplified.
First we will factor the numerator:
Then factor the denominator:
We can re-write the original fraction with these factors and then cancel an (x-5) term from both parts:
Example Question #1 : Operations With Polynomials
Divide by
.
First, set up the division as the following:
Look at the leading term in the divisor and
in the dividend. Divide
by
gives
; therefore, put
on the top:
Then take that and multiply it by the divisor,
, to get
. Place that
under the division sign:
Subtract the dividend by that same and place the result at the bottom. The new result is
, which is the new dividend.
Now, is the new leading term of the dividend. Dividing
by
gives 5. Therefore, put 5 on top:
Multiply that 5 by the divisor and place the result, , at the bottom:
Perform the usual subtraction:
Therefore the answer is with a remainder of
, or
.
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