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We are given the following expression:
[tex](x+2)(x+2)[/tex]We can use exponentials to simplify the expression since we have the product of the same term:
[tex](x+2)(x+2)=(x+2)^2[/tex]We can simplify further by applying the following property:
[tex](a+b)^2=a^2+2ab+b^2[/tex]Applying the property we get:
[tex](x+2)^2=x^2+2(2x)+2^2[/tex]Simplifying:
[tex](x+2)^2=x^2+4x+4[/tex]And thus we get the simplified form.