benallan2006 benallan2006
  • 28-07-2020
  • Mathematics
contestada

If xy = 4, which is equivalent to y(x-4)(x+2)

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 02-08-2020

Answer:

4x - 8 - 32/x

Step-by-step explanation:

From the expression xy = 4, y = 4/x

Substituting y = 4/x into the expression  y(x-4)(x+2) and expanding;

=  y(x-4)(x+2)

= 4/x(x-4)(x+2)

On expansion;

= (4-16/x)(x+2)

= 4x+4(2)-(16/x)x-(16/x)2

= 4x+8-16-32/x

= 4x-8-32/x

The equivalent expression is 4x - 8 - 32/x

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