Chapter 1.3, Problem 36PPSE

Solution

To state: The simplified form of the expression $7b-\left(3a-8b\right)$ by combining like terms.

The resultant answer is $15b-3a$ .

Given information:

The given expression is $7b-\left(3a-8b\right)$ .

Explanation:

Like terms are those terms that have same variables raised to the same power.

Now consider the given expression $7b-\left(3a-8b\right)$:

Identify the like terms,

  $7b-\left(3a-8b\right)$

Remove the grouping symbol and use opposite of difference,

  $7b-3a+8b$

Use Commutative property,

  $7b+8b-3a$

Apply Distributive property,

  $\left(7+8\right)b-3a$

Combine the like terms,

  $15b-3a$

Therefore, $15b-3a$ is the resultant form of the expression $7b-\left(3a-8b\right)$ .