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gtnhenbr [62]
2 years ago
13

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

Mathematics
2 answers:
Semmy [17]2 years ago
5 0
The last choice is right sure because this is a perfect square trinomial

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

hope this will help you 
KengaRu [80]2 years ago
3 0

Answer:

Option D is correct

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

a perfect square trinomial

Step-by-step explanation:

Using a perfect square trinomial:

(a-b)^2 = a^2-2ab+b^2          ....[1]

Given the expression:

(4xy-3z)^2

let a = 4xy and b = 3z

then;

Substitute in [1] we have

(4xy-3z)^2 = (4xy)^2-2(4xy)(3z)+(3z)^2

Simplify:

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

Therefore, the expression which is equivalent to (4xy-3z)^2 is 16x^2y^2-24xyz+9z^2 and type of special product is:  perfect square trinomial

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