Factor the polynomial completely. 8x^4y – 16x^2y^2

8\,x^2\,y\,(x-\sqrt{2} )(x+\sqrt{2} )

Step-by-step explanation:

Let's start by extracting all common factors from the two terms of this binomial. These common factors are: 8, , and .

The extraction renders:

In the real number system, the binomial in parenthesis can still be factored out considering that 2 is the perfect square of , that is:

We can then forwards with the factoring of this binomial using the factorization of a difference of squares as:

Thus giving the complete factorization as:

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

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step-by-step explanation: