Which expression is equivalent to 4(2p+4q)?

Question

Which expression is equivalent to  4(2p+4q)?

Bonnnnn · Answer

do you have options?

sandy011 · Answer

no

Angle · Answer

You are likely going to use the distributive property for this problem

sandy011 · Answer

i dont even know how to use that

Angle · Answer

I'll show you an easy one:

2( 3 + 4 ) = 14 correct?

sandy011 · Answer

yea

Angle · Answer

The long way of doing that problem is

2(3 + 4) 
= 2*3 + 2*4 
= 6 + 8 
= 14

In this long method, the "2" gets "distributed" to the 3 and the 4

sandy011 · Answer

oh okay

Angle · Answer

if we use this long method called the distributive property

we're going to distribute that "4" at the front of your problem
to the (2p) and the (4q)

sandy011 · Answer

so multiply 4 with (2p) and (4q)?

Angle · Answer

yup!
but keep the plus sign in between the two sections

sandy011 · Answer

okay
so would it be 2p+(3p+16q) ?

Angle · Answer

whoop 
16q is good

how did you get 3p?

Angle · Answer

|dw:1613682019504:dw|

Angle · Answer

|dw:1613682049442:dw|

sandy011 · Answer

oh so it would be 4p+16q?

Angle · Answer

try again? unless thats' a typo?

sandy011 · Answer

4p should be 8p right?

Angle · Answer

yup!

sandy011 · Answer

so 8p+16q is the answer?

Angle · Answer

I do believe so

some problems might ask for a middle step, so I'm not completely sure

sandy011 · Answer

ah okay thank you