Expand the following using both the identity of square of the difference of two numbers and by applying the distributive property.
 
\((-5b + 1)^{2}\)
 
Answer:
 
The identity used to expand the given expression is:
 
iiii=ii−ii+ii
 
If we expand the given expression using the distributive property, we apply:
 
 
Therefore, \((-5b + 1)^{2}\) \(=\) iii−ii+i.