Question

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

Answer 1

Answer:

The expression is true.

Explanation:

 $(x^2+8x+16)(x^2-8x+16)=(x+4)^2(x-4)^2=((x+4)(x-4))^2$

 We know that (a +b)(a-b) = a²-b²

 So we have ,

      $((x+4)(x-4))^2=(x^2-4^2)^2=(x^2-16)^2$

 Which is Right Hand Side  given.

So, the expression is true.