Question

Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ?

Answer 1

Answer:

The equivalent expressions are:

$8f+4g$

and

$4(2f+g)$

Step-by-step explanation:

The given expression is $2(4f+2g)$

We want to find an expression that is equivalent to the above expression.

One way to do this is to expand the parenthesis.

Recall the distributive property: $a(b+c)=ab+bc$

We apply this property to get:

$2(4f+2g)=2*4f+2*2g$

When we simplify further we get:

$2(4f+2g)=8f+4g$

Another way to this is to factor completely to get:

$2(4f+2g)=4(2f+g)$

Therefore the equivalent expressions are:

$4(2f+g)$ and $8f+4g$

Answer 2

Answer:

C and D

Step-by-step explanation: