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Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.

Give An Example Of A Polynomial That Is A Perfect Square How Do You Know That It Is A Perfect Square Give Its Factored Form class=

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Answer:

Step-by-step explanation:

A polynomial is a  perfect square if has the form:

[tex]a^2+2ab+b^2[/tex]

Its factored form is  [tex](a+b)^2[/tex].

We can obtain examples by taking any value of a and b.

For example:

[tex]a=x[/tex]  anb  [tex]b=2y[/tex].  

Thus we obtain a polynomial that is a perfect square:

[tex]x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2[/tex]

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