Question

Which expression is equivalent to 7(4x + 2y)?

A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y

Answer 1

D) 28x + 14y

Explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer 2

`\Longrightarrow \boxed{\sf{28x+14y}}`

Explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

• Hence, the correct answer is 28x+14y.

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