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Simora [160]
3 years ago
11

Solve the question. ​

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer: 1

(\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2}  } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2}  } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2}  } }{x^{bc-ab} }      \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2}   } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1

Step-by-step explanation:

Serggg [28]3 years ago
5 0
Wow the person who answered above me is smart
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