Which is equivalent to 4(2x + 10y)

A.8(x + 5y)

B.8x + 10y

C.8(x + 10y)

D.8x + 14y

Question

Which is equivalent to 4(2x + 10y)

A.8(x + 5y)

B.8x + 10y

C.8(x + 10y)

D.8x + 14y

Hero · Answer

@se07197 which would you say is equivalent and why?

se07197 · Answer

D because 4 x 2=8 and 4 + 10=14y

Hero · Answer

Are you familiar with the distributive property?

se07197 · Answer

yes but I got 8x and 40y

Hero · Answer

Yes, except in this case, you have to factor out the 2 which is common to 2x and 10y.

Hero · Answer

In other words, You have to perform distributive property in REVERSE

se07197 · Answer

so is it D

Hero · Answer

Forget about which answer it is for right now. What happens if you factor out the 2 from the expression in parentheses?

se07197 · Answer

idk I am confused

Hero · Answer

Suppose the expression was just 2x + 10y. What is common to 2x and 10y?

Hero · Answer

What are the factors of 2? What are the factors of 10?

AP · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @se07197
yes but I got 8x and 40y
$\color{#0cbb34}{\text{End of Quote}}$
This is correct. 
Now, find the answer choice that is also equivalent to 8x + 40y. @se07197

se07197 · Answer

oo ok thx

AP · Answer

Did you figure it out?

se07197 · Answer

yea thx I need to go but thx bye