To simplify the expression using the distributive property, we need to combine the like terms by adding their coefficients.
Here are the steps:
1. Identify the coefficients of the variable [tex]\( b \)[/tex] in the given expression [tex]\( 4b + 5b \)[/tex].
- The coefficient of the first term [tex]\( 4b \)[/tex] is [tex]\( 4 \)[/tex].
- The coefficient of the second term [tex]\( 5b \)[/tex] is [tex]\( 5 \)[/tex].
2. Add these coefficients together:
- [tex]\( 4 + 5 = 9 \)[/tex]
3. Combine the terms using the distributive property. This means we take the sum of the coefficients and multiply it by the variable [tex]\( b \)[/tex]:
- [tex]\( (4 + 5)b = 9b \)[/tex]
So, the simplified form of the expression is [tex]\( 9b \)[/tex].
Thus:
[tex]\[ 4b + 5b = (4 + 5)b = 9b \][/tex]
