Question

Combine like terms and apply the distributive property to create an equivalent expression:

Answer 1

Answer:

Equivalent expression is $15a+8b$

Step-by-step explanation:

Given expression is,

$2\left(5a+3b\right)+5a+2b$

First step is to apply distributive property. The property states that,

$a\left(b+c\right)=ab+ac$

Applying the property,

$2\left(5a\right)+2\left(3b\right)+5a+2b$

Simplifying,

$10a+6b+5a+2b$

Collecting like terms,

$10a+5a+6b+2b$

Combining the like terms,

$15a+8b$

Therefore, equivalent expression is $2\left(5a+3b\right)+5a+2b=15a+8b$