Combining all these results: [tex]\[
900 - 9y^2 - 100x^2 + x^2 y^2
\][/tex]
Step 2: Now subtract the [tex]\(120xy\)[/tex] term from the expanded expression: [tex]\[
900 - 9y^2 - 100x^2 + x^2 y^2 - 120xy
\][/tex]
Therefore, the final expanded form of the expression [tex]\((9 - x^2)(100 - y^2) - 120xy\)[/tex] is: [tex]\[
x^2 y^2 - 100x^2 - 120xy - 9y^2 + 900
\][/tex]
This is the completely expanded form of the given expression.