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Multiplying Binomials (Special Cases)

In this video, we are going to look at how to multiply special cases of binomials.
For example:
To multiply (x+b)^2 we have to multiply the binomial by itself. When we foil it, we get
x^2+bx+bx+b^2
After combining like terms, this simplifies to
x^2+2bx+b^2
By following this form, we can use this to solve any squared binomial.
For example:
(x+4)^2
can be solved by plugging in 4 for where we see b. This will give us a final answer of
x^2+8x+16
Another special case example would be to multiply (x+b)(x-b)
When we foil it we get
x^2-bx+bx-b^2
After combining like terms, it simplifies to
x^2-b^2
By following this form, we can use this to solve other binomials written this way.
For example:
(x+4)(x-4)
would be easily solvable by plugging in 4 for where we see b. This will give us a final answer of
x^2-16

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