Question

(x^a+b) ^2 ×(x^b+c) ^2×(x^c+a) ^2/(x^a . x^b . x^c) ^3​

Answer 1

Step-by-step explanation:

$\frac{ {x}^{ {(a + b)}^{2} } \times { {x}^{(b + c)} }^{2} \times { {x}^{(c + a)} }^{2} }{ {( {x}^{a} \times {x}^{b} \times {x}^{c} ) }^{3} } \\ = \frac{ {x}^{2a + 2b} \times {x}^{2b + 2c} \times {x}^{2c + 2a} }{ {x}^{3(a + b + c)} } \\ = \frac{ {x}^{2a + 2b + 2b + 2c + 2c + 2a} }{ {x}^{3(a + b + c)} } \\ = \frac{ {x}^{4(a + b + c)} }{ {x}^{3(a + b+c )} } \\ = {x}^{a + b + c}$