- xbxc -b-c-a- xcxa -c-a-b-x- xaxb -a-b-c - -

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Addition and Subtraction of a Matrix

[ xbxc ]b+c-a...

Question

${(\begin{matrix} \frac{x^{b}}{x^{c}} \end{matrix})}^{(b + c - a)} . {(\begin{matrix} \frac{x^{c}}{x^{a}} \end{matrix})}^{(c + a - b)} . x {(\begin{matrix} \frac{x^{a}}{x^{b}} \end{matrix})}^{(a + b - c)} = ?$

x^{a b c}

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x^{a b + b c + c a}

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x a + b + c

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Solution

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Similar questions

{(\begin{matrix} \frac{x^{a}}{x^{b}} \end{matrix})}^{a + b} \times {(\begin{matrix} \frac{x^{b}}{x^{c}} \end{matrix})}^{b + c} \times {(\begin{matrix} \frac{x^{c}}{x^{a}} \end{matrix})}^{c + a}

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

\frac{1}{1 + x^{(b - a)} + x^{(c - a)}} + \frac{1}{1 + x^{(a - b)} + x^{(c - b)}} + \frac{1}{1 + x^{(b - c)} + x^{(a - c)}} = ?

\frac{1}{1 + x^{a - b}} + \frac{1}{1 + x^{b - a}} = 1

\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}} + \frac{1}{1 + x^{b - c} + x^{a - c}} = 1

\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}} + \frac{1}{1 + x^{a - c} + x^{b - c}}

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