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matrenka [14]
3 years ago
15

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

Mathematics
2 answers:
RSB [31]3 years ago
4 0
(4xy-3z)^{2} =(4xy)^{2} -2(4xy)(3z)+ (3z)^{2} =16 x^{2}  y^{2} -24xyz+9 z^{2}
The type of special product is 'a perfect square trinomial'.
rewona [7]3 years ago
3 0

Answer:

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

It is a perfect square trinomial.

Step-by-step explanation:

The given expression is (4xy-3z)^2

We can use the formula (a-b)^=a^2-2ab+b^2

Here, we have

a = 4xy, b = 3z

Using the formula, we have

(4xy-3z)^2\\=(4xy)^2-2(4xy)(3z)+(3z)^2\\\\16x^2y^2-24xyz+9z^2

Therefore, the equivalent expression is 16x^2y^2-24xyz+9z^2

It is a perfect square trinomial.

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