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The value of $(x^{a - b})^{(} a + b) \times (x^{b - c})^{(} b + c) \times (x^{c - a})^{(} c + a)$ is:

Competition practiceAlgebra

A0
B $x$
C $x^{a^{2} + b^{2} + c^{2}}$
D1

Step-by-Step Solution

Exponent:

(a^{2} - b^{2}) + (b^{2} - c^{2}) + (c^{2} - a^{2}) = 0

, so the product is

x^{0} = 1

.

Answer: D) 1

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