Compute these products using the suggested identity.

\(45 × 55\) using Identity for \((a + b)(a - b)\)
 
Answer:
 
\((a + b)(a - b)\) \(=\) ii−ii
 
The product \(45 × 55\) is rewritten as 50−ii+i.
 
\(45 × 55\) \(=\)