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Simplify:
[tex]\[ 2 + 5(3b + 9) - b \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's simplify the given expression step by step. The expression is:

[tex]\[ 2 + 5(3b + 9) - b \][/tex]

1. Distribute the 5 within the parentheses:

[tex]\[ 2 + 5 \cdot 3b + 5 \cdot 9 - b \][/tex]

2. Simplify the distributions:

[tex]\[ 2 + 15b + 45 - b \][/tex]

3. Combine like terms:

Combine the constant terms:

[tex]\[ 2 + 45 = 47 \][/tex]

Combine the [tex]\( b \)[/tex] terms:

[tex]\[ 15b - b = 14b \][/tex]

4. Write the final simplified expression:

[tex]\[ 14b + 47 \][/tex]

So, the simplified form of the expression [tex]\( 2 + 5(3b + 9) - b \)[/tex] is:

[tex]\[ 14b + 47 \][/tex]
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