To factorize the expression [tex]\( p q - p \)[/tex], follow these steps:
1. Identify Common Factors:
First, look for common factors in the terms of the expression [tex]\( p q - p \)[/tex].
- The expression [tex]\( p q \)[/tex] consists of two terms: [tex]\( p \)[/tex] and [tex]\( q \)[/tex].
- The expression [tex]\( -p \)[/tex] consists of the single term: [tex]\( p \)[/tex].
2. Extract the Common Factor:
The common factor in both terms is [tex]\( p \)[/tex]. We will factor [tex]\( p \)[/tex] out of each term.
- [tex]\( p q \)[/tex] can be written as [tex]\( p \cdot q \)[/tex].
- [tex]\( -p \)[/tex] remains as it is.
3. Factor Out:
After factoring [tex]\( p \)[/tex] out of each term, we can rewrite the expression as:
[tex]\[
p q - p = p(q - 1)
\][/tex]
Therefore, the factorized form of the expression [tex]\( p q - p \)[/tex] is:
[tex]\[
p(q - 1)
\][/tex]
