Question

Evaluate the following expressions:
1. 5(a+2b)-3b

Answer 1

=5a+7b

Explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer 2

• 
  `\boxed{\sf{5a+7b}}`

Explanation:

`\boxed{\underline{\text{Distributive property}}}`

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

5(a+2b)-3b

Multiply by expand first.

`\Longrightarrow: \sf{5(a+2b)}`

`\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}`

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

`\Longrightarrow: \boxed{\sf{5a+7b}}`

• Therefore, the final answer is 5a+7b.

I hope this helps, let me know if you have any questions.