Answer:
Option (B) is correct.
The simplified form of the given expression \(9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)\) is \(21a+17b\)
Step-by-step explanation:
Given: expression \(9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)\)
We have to simplify the given expression \(9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)\) and choose the correct option from given options.
Consider the given expression \(9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)\)
Apply distributive rule, \(a\left(b+c\right)=ab+ac\)
We have,
\(=9a+9b+12a+8b\)
Adding like terms,
LIKE TERMS are terms having same variable with same degree.
\(9a+12a=21a\\\\ \:9b+8b=17b\)
We have,
\(=21a+17b\)
Thus, The simplified form of the given expression \(9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)\) is \(21a+17b\)
