Let's break down and simplify the given mathematical expression [tex]\(25 x^2 - 10 x + 1 - 36 z^2\)[/tex].
1. Start with interpreting the expression:
[tex]\[25 x^2 - 10 x + 1 - 36 z^2\][/tex]
2. The expression contains four different terms:
- The first term is [tex]\(25 x^2\)[/tex], which is a quadratic term in [tex]\(x\)[/tex].
- The second term is [tex]\(-10 x\)[/tex], which is a linear term in [tex]\(x\)[/tex].
- The third term is [tex]\(1\)[/tex], which is a constant.
- The fourth term is [tex]\(-36 z^2\)[/tex], which is a quadratic term in [tex]\(z\)[/tex].
3. Re-arrange the terms in a standard form:
[tex]\[25 x^2 - 10 x + 1 - 36 z^2\][/tex]
Looking at the expression, we can see that it is already presented in its simplest form as a sum of different terms: a quadratic expression in [tex]\(x\)[/tex] and a quadratic expression in [tex]\(z\)[/tex], combined with a linear term in [tex]\(x\)[/tex] and a constant.
Thus, the simplified and final form of the expression is:
[tex]\[25 x^2 - 10 x - 36 z^2 + 1\][/tex]
