Question

Simplify: 9(a + b) + 4(3a + 2b)

A) 13a 13b
B) 21a + 17b
Eliminate
C) 21a + 2b
D) 38ab

Answer 1

b) 9(a+b)+4 (3a+2b)=21a+17b

Answer 2

Option (B) is correct.

The simplified form of the given expression
`9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)` is
`21a+17b`

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`