Jetc34
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Is the following expression true or false? Show your work.

[x^2 + 8x + 16] · [x^2 – 8x + 16] = (x^2 – 16)^2

Respuesta :

Blacklash

Answer:

The expression is true.

Explanation:

 [tex](x^2+8x+16)(x^2-8x+16)=(x+4)^2(x-4)^2=((x+4)(x-4))^2[/tex]

 We know that (a +b)(a-b) = a²-b²

 So we have ,

      [tex]((x+4)(x-4))^2=(x^2-4^2)^2=(x^2-16)^2[/tex]

 Which is Right Hand Side  given.

So, the expression is true.

 

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