Find the value of (x^(a-b))^(a+b) * (x^(b-c))^(b+c) * (x^(c-a))^(c+a).

A0

B1

Cx

Dx^(a+b+c)

Explanation

Exponents simplify using (p-q)(p+q) = p^2 – q^2: x^(a^2 – b^2) * x^(b^2 – c^2) * x^(c^2 – a^2) = x^(a^2 – b^2 + b^2 – c^2 + c^2 – a^2) = x^0 = 1.

Exam Relevance

Topic: Algebra
Subtopic: Indices

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