Question

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

Answer 1

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

Answer 2

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 $21a+17b$