To simplify the given expression [tex]\(2 \cdot x^2 - y^2\)[/tex], we start by analyzing each component of the expression:
1. Identify individual terms:
- The first term is [tex]\(2 \cdot x^2\)[/tex]. This means that the variable [tex]\(x\)[/tex] is squared (i.e., [tex]\(x^2\)[/tex]) and then multiplied by 2.
- The second term is [tex]\(- y^2\)[/tex]. This is the variable [tex]\(y\)[/tex] squared with a negative sign in front of it.
2. Combine the terms in the expression:
- We're not asked to factorize or solve for specific values of [tex]\(x\)[/tex] or [tex]\(y\)[/tex], so we'll simply write the expression by combining the identified terms.
- Therefore, the expression stays as [tex]\(2 \cdot x^2 - y^2\)[/tex].
In conclusion, the simplified mathematical expression combining both terms is:
[tex]\[
2 \cdot x^2 - y^2
\][/tex]
