mtlknv mtlknv
  • 13-04-2019
  • Mathematics
contestada

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

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 13-04-2019

Answer:

0

Step-by-step explanation:

2a+ 2/a =4

Multiply each side by a to clear the fraction

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

Distribute

2a^2 +2 = 4a

Subtract 4a from each side

2a^2 -4a +2 = 4a-4a

2a^2 -4a +2 =0

Divide by 2

2/2 a^2 -4a/2 +2/2 =0/2

a^2 -2a +1=0

Factor

(a-1) (a-1) =0

Using the zero product property

a=1

2a^2 -2/a^2

2(1)^2 -2/1^2

2-2

0

Answer Link
ygpurx
ygpurx ygpurx
  • 11-12-2020

Answer:

its 0 =)

Step-by-step explanation:

Answer Link

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