The value of the expression for the given values of the variables is 1/9
Evaluating an Expression
From the question, we are to determine the value of the expression for the given values of the variables
The given expression is
[tex](\frac{4x^{3} -2y-2z^{3} }{4y^{2}-16x^{2} }) ^{2}[/tex]
From the given information,
x = 2
y = -5
z = 3
Putting the values of the variables into the expression
[tex](\frac{4(2)^{3} -2(-5)-2(3)^{3} }{4(-5)^{2}-16(2)^{2} }) ^{2}[/tex]
[tex](\frac{4(8) +10-2(27) }{4(25)-16(4) }) ^{2}[/tex]
[tex](\frac{32 +10-54 }{100-64 }) ^{2}[/tex]
[tex](\frac{-12 }{36 }) ^{2}[/tex]
[tex](\frac{-1 }{3 }) ^{2}[/tex]
[tex]= \frac{1}{9}[/tex]
Hence, the value of the expression for the given values of the variables is 1/9
Learn more on Evaluating an expression here: https://brainly.com/question/12527465
#SPJ1
