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Friday, October 11, 2013

Multiplying Polynomials, 2

Category: Algebra

"Published in Suisun City, California, USA"

Multiply the following polynomials:


Solution:

Consider the given polynomial above


Combine similar terms of each grouped terms as follows


Apply the distributive property of multiplication over addition, we have




Therefore, the final answer is 



Thursday, October 10, 2013

Adding - Subtracting Polynomials, 3

Category: Algebra

"Published in Newark, California, USA"

 Subtract the sum of the first two expressions from the sum of the remaining expressions:


Solution:

The first that we have to do is to group the subtrahend and minuend. The subtrahend is the sum of the first two polynomials while the minuend is the sum of the rest of the polynomials. Hence,



Change the sign of the subtrahend and perform the addition, we have



Therefore, the final answer is

Wednesday, October 9, 2013

Adding - Subtracting Polynomials, 2

Category: Algebra

"Published in Newark, California, USA"

Add the following polynomials:


Solution:

The first thing that we have to do is to group each term according to their variables. Like combines like. When you combine similar or like terms, please be very careful especially with the signs. Consider the given equation above


Since we will add all the given polynomials above, then we don't have to change the sign of each terms. Group the given polynomials according to their variables, we have




Therefore, the final answer is