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What is one of the factors of z2 - 162 Make sure to put parentheses around your answer, for example: (x+1)

Answer :

The expression to factor is:

[tex]z^2-16^2[/tex]

This matches with the general expression of:

[tex]a^2-b^2[/tex]

Which can be factored as:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Now, we can factor our expression as:

[tex]z^2-16^2=(z-16)(z+16)[/tex]

These 2 factors multiplied together, gives us the expression.

So, one of the factors would be:

[tex](z-16)[/tex]

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