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Simplify, using the distributive property.

[tex]\[ 4b + 5b = (4 + [?])b = []b \][/tex]

Sagot :

GinnyAnsweridn
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]
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