Question

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

Answer 1

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Answer 2

Let's solve the given equation step-by-step:

1. Expand the expressions on both sides of the equation:

Expand (x-4)(x+4): (x-4)(x+4) = x(x) + x(4) - 4(x) - 4(4) = x^2 + 4x - 4x - 16 = x^2 - 16

Expand (x-2)(x+2): (x-2)(x+2) = x(x) + x(2) - 2(x) - 2(2) = x^2 + 2x - 2x - 4 = x^2 - 4

2. Now, substitute the expanded expressions back into the original equation:

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

3. Simplify the equation:

x^2 - 16 - x^2 + 4 = -2

4. Combine like terms:

-12 = -2

5. The equation is not valid because it leads to an inconsistency (-12 ≠ -2). This means that there is no solution for the given equation as written.

It's possible that there might be a typo or error in the original equation. Please double-check the equation or provide additional context if you intended to ask a different question.