Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{1}{1+x^{p^{q}}+x^{p+}}+\frac{1}{1+x^{q^{p}}+x^{q^{-r}}}+\frac{1}{1+x^{rp}+x^{r-q}}$$

Answer

$$33+x^p^q+x^p+x^q^p+x^(1/q^r)+x^r*p+x^r-q$$

Solution


Simplify.
\[11+{x}^{{p}^{q}}+{x}^{p}+11+{x}^{{q}^{p}}+{x}^{{q}^{-r}}+11+{x}^{r}p+{x}^{r}-q\]
Collect like terms.
\[(11+11+11)+{x}^{{p}^{q}}+{x}^{p}+{x}^{{q}^{p}}+{\sqrt[q}^{r]{x}}+{x}^{r}p+{x}^{r}-q\]
Simplify.
\[33+{x}^{{p}^{q}}+{x}^{p}+{x}^{{q}^{p}}+{\sqrt[q}^{r]{x}}+{x}^{r}p+{x}^{r}-q\]
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