stravis5351 stravis5351
  • 21-10-2019
  • Mathematics
contestada

Complete the following: a^2 − 16 = (a +______ )(a - _____ )

Respuesta :

ranikashyab066 ranikashyab066
  • 24-10-2019

Answer:

[tex]a^{2}  -16[/tex] =  (a + 4) (a - 4)

Step-by-step explanation:

The given equation is [tex]a^{2}  -16[/tex]

Now, By ALGEBRAIC IDENTITY:

[tex]a^{2}  -b^{2}   =(a - b) (a + b)[/tex]

Here, taking [tex]b^{2}  = 16[/tex], we get b = 4

as [tex]4^{2}  = 16[/tex]

So, the right hand side of [tex]a^{2}  -16[/tex] is (a + 4) (a-4)

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