Question

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

2(5a + 3b) + 5a + 2b

Answer 1

Equivalent expression is
`15a+8b`

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`