Question

Find the value of expression below when x=2
What the answer

Answer 1

300

Explanation:

Step 1:

`2(2) = 4`

Step 2:

`4 + 6 = 10`

Step 3:

`10^(2) = 100`

Step 4:

`3(100) = 300`

It is 300

OR:

`(2x + 6)^(2) = (2x)^(2) + 6^(2) +2(2x)(6)`

=
`4x^(2) + 36 + 24x`

`3(4x^(2) + 36 + 24x) = 12x^(2) + 108 + 72x`

Substituting x = 2:

`12(2^(2)) + 108 + 72(2)`

`= 300`

Answer 2

Explanation:

something if wrong here.

3(2x + 6)² for x = 2 is

3(2×2 + 6)² = 3(4 + 6)² = 3(10)² = 3×100 = 300

this IS correct, as you can easily see by following my calculation steps.

but none of your answer options show 300.

I could imagine that the expression was meant to be maybe

(3(2x + 6) + 6)²

and then

(3(2×2 + 6) + 6)² = (3(4 + 6) + 6)² = (3×10 + 6)² =

= (30 + 6)² = 36² = 1296