And ! which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0?
2(x + 6)2 = 26
2(x + 6)2 = 20
2(x + 3)2 = 32
2(x + 3)2 = 30

The correct option is 3.

Step-by-step explanation:

The given equation is

It can be written as

Taking out the common factor form the parenthesis.

If an expression is defined as then we add to make it perfect square.

In the above equation b=6.

Add and subtract 3^2 in the parenthesis.

            .... (1)

Add 32 on both sides.

The vertex from of a parabola is

       .... (2)

If a>0, then k is minimum value at x=h.

From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.

The equation reveals the minimum value for the given equation.

Therefore the correct option is 3.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

4x and 6y

im not sure though