Example

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

Question

$$\frac{x^{4}+1}{x^{2}-x\sqrt{2}+1}n\overline{i}$$

Answer

$$x^4+x^2-sqrt(2)*x-e^2*n^2*o*v*r*l$$

Solution


Simplify  \(1\times {x}^{2}\)  to  \({x}^{2}\).
\[{x}^{4}+{x}^{2}-x\sqrt{2}+1\times noverl\imath ne\imath \]
Regroup terms.
\[{x}^{4}+{x}^{2}-\sqrt{2}x+1\times noverl\imath ne\imath \]
Regroup terms.
\[{x}^{4}+{x}^{2}-\sqrt{2}x+nnovrle\imath e\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{4}+{x}^{2}-\sqrt{2}x+{n}^{2}ovrl{e}^{2}{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[{x}^{4}+{x}^{2}-\sqrt{2}x+{n}^{2}ovrl{e}^{2}\times -1\]
Simplify  \({n}^{2}ovrl{e}^{2}\times -1\)  to  \(-{n}^{2}ovrl{e}^{2}\).
\[{x}^{4}+{x}^{2}-\sqrt{2}x-{n}^{2}ovrl{e}^{2}\]
Regroup terms.
\[{x}^{4}+{x}^{2}-\sqrt{2}x-{e}^{2}{n}^{2}ovrl\]
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