Solve (x^a b/x^c)^a-b(x^b c/x^a)^b-c(x^c a/x^b)^c-a

Evaluate

(x^{a} \times \frac{b}{x ^{c}})^{a} - b (x^{b} \times \frac{c}{x ^{a}})^{b} - c (x^{c} \times \frac{a}{x ^{b}})^{c} - a

Multiply the terms

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(x^{a} \times \frac{b}{x ^{c}})^{a} - b (c x^{b - a})^{b} - c (x^{c} \times \frac{a}{x ^{b}})^{c} - a

Multiply the terms

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(x^{a} \times \frac{b}{x ^{c}})^{a} - b (c x^{b - a})^{b} - c (a x^{c - b})^{c} - a

Multiply the terms

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(b x^{a - c})^{a} - b (c x^{b - a})^{b} - c (a x^{c - b})^{c} - a

Expand the expression

b^{a} (x^{a - c})^{a} - b (c x^{b - a})^{b} - c (a x^{c - b})^{c} - a

Expand the expression

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b^{a} (x^{a - c})^{a} - b c^{b} x^{b (b - a)} - c (a x^{c - b})^{c} - a

Expand the expression

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b^{a} (x^{a - c})^{a} - b c^{b} x^{b (b - a)} - c a^{c} x^{c (c - b)} - a

Solution

b^{a} x^{a (a - c)} - b c^{b} x^{b (b - a)} - c a^{c} x^{c (c - b)} - a

Simplify the expression