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Which is equivalent to (4xy-3z)^2, and what type of special product is it?

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Answer:

The expression (4xy-3z)^2 is equivalent to (4xy-3z)*(4xy-3z). When expanded, it becomes:

16x^2y^2 - 24xyz + 9z^2

This represents the perfect square of a binomial. This is a special type of product in algebra that results from squaring a binomial (two-term polynomial). The generic formula for the square of a binomial (a - b)^2 is:

a^2 - 2ab + b^2

In your case, a is 4xy and b is 3z. So when you square the binomial, you get the result above.

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