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Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it
question answer choices are:
A. 16 x squared y squared + 9 z squared, the difference of squares
B. 16 x squared y squared + 9 z squared, a perfect square trinomial
C. 16 x squared y squared minus 24 x y z + 9 z squared, the difference of squares
D. 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial

Respuesta :

Answer:

The answer is option D

Step-by-step explanation:

When factored out option C and D are the same but it is a perfect square, not the difference of squares.

Option (D) 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial is the correct answer.

What is an algebraic expression?

An expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Algebraic expressions include at least one variable and at least one operation.

For the given situation,

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

This expression can be expand by using the formula,

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

Here, a = 4xy and b = 3z

⇒ [tex](4xy)^{2} -2(4xy)(3z)+(3z)^{2}[/tex]

⇒ [tex]16x^{2} y^{2} -24xyz+9z^{2}[/tex]

Hence we can conclude that option (D) 16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial is the correct answer.

Learn more about algebraic expression here

https://brainly.com/question/19245500

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