The value of (xb + c)b − c (xc + a)c − a (xa

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The value of (x^{b + c})^{b − c} (x^{c + a})^{c − a} (x^{a + b})^{a − b} (x ≠ 0) is

(x^{b + c})^{b − c}. (x^{c + a})^{c − a}.(x^{a + b})^{a − b}
= x^b²^{− c²}.x^c²^{− a²}.x^a²^{− b²}
= x^b²^{− c² +}^c²^{− a² +}^a²^{− b²} = x⁰ = 1