alilu alilu
  • 10-01-2021
  • Mathematics
contestada

If (3a + 3b + 1) (3a + 3b - 1) = 80, then what is a + b?

Respuesta :

Skywalker8510 Skywalker8510
  • 10-01-2021

Answer: a + b = 3 - [tex]\sqrt{2ab}[/tex]       maybe

Step-by-step explanation:

( 3a + 3b + 1 )( 3a + 3b - 1 ) = 80

Expand

9a² + 9ab - 3a + 9ab + 9b² - 3b + 3a + 3b - 1 = 80

Simplify

9a² + 9b² + 18ab - 1 = 80

move the 1 over

9a² + 9b² + 18ab = 81

divide by 9

a² + b² + 2ab = 9

not really sure after this part

move the 2ab over

a² + b² = 9 - 2ab

square root both sides

a + b = [tex]\sqrt{9-2ab}[/tex]

simplify

a + b = 3 - [tex]\sqrt{2ab}[/tex]

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