__Category__: Algebra

"Published in Newark, California, USA"
Perform the indicated operations for

__Solution:__
The above equation is a multiplication of a binomial with a trinomial. Let's apply the Distributive Law for the above equation as follows

Then apply the Laws of Exponents for the above equation as follows
Therefore, the answer is

__Category__: Algebra

"Published in Newark, California, USA"
Add the following polynomials:
__Solution__:
The first thing that we have to do to is to arrange the given polynomials as follows

Since all the grouped terms are all addition, then we can add all the same terms. If it is subtraction of polynomials, then we have to change the sign of the terms of the subtrahend first and then perform the addition. Now, let's combine the same terms and variables of the polynomials as follows
Therefore, the answer is **0**.
__Note__: When you do any algebraic operations, please be very careful because many students are sometimes make a mistake especially with the signs.

__Category__: Algebra

"Published in Newark, California, USA"

Find the factors of .

__Solution:__

Examine first the given trinomial if there are any common factor or not. In this case, their common factor is 2. Remove their common factor, we have
Since the result of a trinomial is a perfect square, therefore
^{Check: }
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^{How do you know if the given trinomial is a perfect square or not? Here's the technique}
^{Therefore, the middle term is }