Question

4. Which expression is equivalent

to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP

Answer 1

d. 10a + 5b

Explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer 2

`\boxed{\sf{D. \quad 10a+5b}}`

Explanation:

Use a distributive property.

Distributive property:

`\Longrightarrow: \sf{A(B+C)=AB+AC}`

⇒ 5(a+a+b)

⇒ a+a=2a

Rewrite the problem down.

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

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

• Therefore, the final answer is 10a+5b.

I hope this helps you! Let me know if my answer is wrong or not.