Question

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Answer 1

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct