Question

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

Answer 1

0

Step-by-step explanation

Given :

`(2a + 2)/(a) = 4`

We solve for 'a' to obtain,

`2a + 2 = 4a`

This implies that,

`2 = 4a - 2a`

`2 = 2a`

This implies that,

`a = 1`

We substitute a=1 into

`\frac{ 2{a}^(2) - 2}{ {a}^(2) }`

This gives us,

`\frac{ 2{(1)}^(2) - 2}{ {(1)}^(2) } = (2 - 2)/(2) = (0)/(2) = 0`