मूल्यांकन करचें
\frac{x^{3}-5x^{2}+9x+1}{\left(x^{2}-1\right)\left(x^{2}-x+1\right)}
विस्तार करचो
\frac{x^{3}-5x^{2}+9x+1}{\left(x^{2}-1\right)\left(x^{2}-x+1\right)}
ग्राफ
वांटचें
क्लिपबोर्डाचेर नक्कल केलां
\frac{1}{x-1}+\frac{3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
x^{2}-1 गुणकपद काडचें.
\frac{x+1}{\left(x-1\right)\left(x+1\right)}+\frac{3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. x-1 आनी \left(x-1\right)\left(x+1\right) चो किमान सामान्य गुणाकार आसा \left(x-1\right)\left(x+1\right). \frac{x+1}{x+1}क \frac{1}{x-1} फावटी गुणचें.
\frac{x+1+3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
\frac{x+1}{\left(x-1\right)\left(x+1\right)} आनी \frac{3x+1}{\left(x-1\right)\left(x+1\right)} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर जो़डून तांची बेरीज करची.
\frac{4x+2}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
x+1+3x+1 त समान शब्द एकठांय करचे.
\frac{4x+2}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{\left(x+1\right)\left(x^{2}-x+1\right)}
1+x^{3} गुणकपद काडचें.
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}-\frac{\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \left(x-1\right)\left(x+1\right) आनी \left(x+1\right)\left(x^{2}-x+1\right) चो किमान सामान्य गुणाकार आसा \left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right). \frac{x^{2}-x+1}{x^{2}-x+1}क \frac{4x+2}{\left(x-1\right)\left(x+1\right)} फावटी गुणचें. \frac{x-1}{x-1}क \frac{3x^{2}+6x-1}{\left(x+1\right)\left(x^{2}-x+1\right)} फावटी गुणचें.
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)-\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)} आनी \frac{\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.
\frac{4x^{3}-4x^{2}+4x+2x^{2}-2x+2-3x^{3}+3x^{2}-6x^{2}+6x+x-1}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
\left(4x+2\right)\left(x^{2}-x+1\right)-\left(3x^{2}+6x-1\right)\left(x-1\right) त गुणाकार करचे.
\frac{x^{3}-5x^{2}+9x+1}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
4x^{3}-4x^{2}+4x+2x^{2}-2x+2-3x^{3}+3x^{2}-6x^{2}+6x+x-1 त समान शब्द एकठांय करचे.
\frac{x^{3}-5x^{2}+9x+1}{x^{4}-x^{3}+x-1}
\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right) विस्तारीत करचो.
\frac{1}{x-1}+\frac{3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
x^{2}-1 गुणकपद काडचें.
\frac{x+1}{\left(x-1\right)\left(x+1\right)}+\frac{3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. x-1 आनी \left(x-1\right)\left(x+1\right) चो किमान सामान्य गुणाकार आसा \left(x-1\right)\left(x+1\right). \frac{x+1}{x+1}क \frac{1}{x-1} फावटी गुणचें.
\frac{x+1+3x+1}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
\frac{x+1}{\left(x-1\right)\left(x+1\right)} आनी \frac{3x+1}{\left(x-1\right)\left(x+1\right)} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर जो़डून तांची बेरीज करची.
\frac{4x+2}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{1+x^{3}}
x+1+3x+1 त समान शब्द एकठांय करचे.
\frac{4x+2}{\left(x-1\right)\left(x+1\right)}-\frac{3x^{2}+6x-1}{\left(x+1\right)\left(x^{2}-x+1\right)}
1+x^{3} गुणकपद काडचें.
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}-\frac{\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \left(x-1\right)\left(x+1\right) आनी \left(x+1\right)\left(x^{2}-x+1\right) चो किमान सामान्य गुणाकार आसा \left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right). \frac{x^{2}-x+1}{x^{2}-x+1}क \frac{4x+2}{\left(x-1\right)\left(x+1\right)} फावटी गुणचें. \frac{x-1}{x-1}क \frac{3x^{2}+6x-1}{\left(x+1\right)\left(x^{2}-x+1\right)} फावटी गुणचें.
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)-\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
\frac{\left(4x+2\right)\left(x^{2}-x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)} आनी \frac{\left(3x^{2}+6x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.
\frac{4x^{3}-4x^{2}+4x+2x^{2}-2x+2-3x^{3}+3x^{2}-6x^{2}+6x+x-1}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
\left(4x+2\right)\left(x^{2}-x+1\right)-\left(3x^{2}+6x-1\right)\left(x-1\right) त गुणाकार करचे.
\frac{x^{3}-5x^{2}+9x+1}{\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right)}
4x^{3}-4x^{2}+4x+2x^{2}-2x+2-3x^{3}+3x^{2}-6x^{2}+6x+x-1 त समान शब्द एकठांय करचे.
\frac{x^{3}-5x^{2}+9x+1}{x^{4}-x^{3}+x-1}
\left(x-1\right)\left(x+1\right)\left(x^{2}-x+1\right) विस्तारीत करचो.
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