Certainly! Let's solve the given mathematical expression step by step.
The given expression is [tex]\(\left(0, 2x^2 + 5y^2 + 2\right)^2\)[/tex].
Here we focus on the second part of the tuple, which is [tex]\(2x^2 + 5y^2 + 2\)[/tex].
Let's denote this expression as [tex]\(A\)[/tex], where:
[tex]\[ A = 2x^2 + 5y^2 + 2 \][/tex]
Now, we square this expression [tex]\(A\)[/tex]:
[tex]\[ (A)^2 = (2x^2 + 5y^2 + 2)^2 \][/tex]
Hence, the squared result of the expression is:
[tex]\[ \left(2x^2 + 5y^2 + 2\right)^2 \][/tex]
So, the detailed solution to the given problem is:
[tex]\[ \left(0, 2x^2 + 5y^2 + 2\right)^2 = (2x^2 + 5y^2 + 2)^2 \][/tex]