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वॅब सोदांतल्यान समान समस्या

वांटचें

\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right)
x^{2}-\sqrt{3}x+1 न x^{2}+1 गुणपाक विभाजक विशमाचो वापर करचो.
\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
वितरक गूणधर्माचो वापर करून x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 क x^{2}+\sqrt{3}x+1 न गुणचें आनी संज्ञां भशेन एकठावणी करची.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
x^{4} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
\sqrt{3} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
\sqrt{3} चो वर्ग 3 आसा.
x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
-3 मेळोवंक -1 आनी 3 गुणचें.
x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
x^{3} न x^{2}\sqrt{3}-3x गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
0 मेळोवंक -\sqrt{3}x^{5} आनी \sqrt{3}x^{5} एकठांय करचें.
x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
x^{2}-\sqrt{3}x न 2x^{2} गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
-x^{4} मेळोवंक -3x^{4} आनी 2x^{4} एकठांय करचें.
x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
0 मेळोवंक -x^{4} आनी x^{4} एकठांय करचें.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
-\sqrt{3}x^{3} मेळोवंक -2\sqrt{3}x^{3} आनी \sqrt{3}x^{3} एकठांय करचें.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
\sqrt{3} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
\sqrt{3} चो वर्ग 3 आसा.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1
-3 मेळोवंक -1 आनी 3 गुणचें.
x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
x न x^{2}\sqrt{3}-3x गुणपाक विभाजक विशमाचो वापर करचो.
x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
0 मेळोवंक -\sqrt{3}x^{3} आनी \sqrt{3}x^{3} एकठांय करचें.
x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1
-x^{2} मेळोवंक 2x^{2} आनी -3x^{2} एकठांय करचें.
x^{6}-\sqrt{3}x+\sqrt{3}x+1
0 मेळोवंक -x^{2} आनी x^{2} एकठांय करचें.
x^{6}+1
0 मेळोवंक -\sqrt{3}x आनी \sqrt{3}x एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1\right)\left(x^{2}+\sqrt{3}x+1\right))
x^{2}-\sqrt{3}x+1 न x^{2}+1 गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(x^{2}-\sqrt{3}x\right)x^{4}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
वितरक गूणधर्माचो वापर करून x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{2}+x^{2}-\sqrt{3}x+1 क x^{2}+\sqrt{3}x+1 न गुणचें आनी संज्ञां भशेन एकठावणी करची.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
x^{4} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
\sqrt{3} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-x\times 3\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
\sqrt{3} चो वर्ग 3 आसा.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\left(x^{2}\sqrt{3}-3x\right)x^{3}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
-3 मेळोवंक -1 आनी 3 गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{5}+\sqrt{3}x^{5}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
x^{3} न x^{2}\sqrt{3}-3x गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{2}\left(x^{2}-\sqrt{3}x\right)+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
0 मेळोवंक -\sqrt{3}x^{5} आनी \sqrt{3}x^{5} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-3x^{4}+2x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
x^{2}-\sqrt{3}x न 2x^{2} गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{4}-2\sqrt{3}x^{3}+x^{4}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
-x^{4} मेळोवंक -3x^{4} आनी 2x^{4} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-2\sqrt{3}x^{3}+\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
0 मेळोवंक -x^{4} आनी x^{4} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}-\sqrt{3}x\right)\sqrt{3}x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
-\sqrt{3}x^{3} मेळोवंक -2\sqrt{3}x^{3} आनी \sqrt{3}x^{3} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\left(\sqrt{3}\right)^{2}\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
\sqrt{3} न x^{2}-\sqrt{3}x गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-x\times 3\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
\sqrt{3} चो वर्ग 3 आसा.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\left(x^{2}\sqrt{3}-3x\right)x+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
-3 मेळोवंक -1 आनी 3 गुणचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x^{3}+2x^{2}+\sqrt{3}x^{3}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
x न x^{2}\sqrt{3}-3x गुणपाक विभाजक विशमाचो वापर करचो.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+2x^{2}-3x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
0 मेळोवंक -\sqrt{3}x^{3} आनी \sqrt{3}x^{3} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-x^{2}+x^{2}-\sqrt{3}x+\sqrt{3}x+1)
-x^{2} मेळोवंक 2x^{2} आनी -3x^{2} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-\sqrt{3}x+\sqrt{3}x+1)
0 मेळोवंक -x^{2} आनी x^{2} एकठांय करचें.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}+1)
0 मेळोवंक -\sqrt{3}x आनी \sqrt{3}x एकठांय करचें.
6x^{6-1}
पोलिनोमियलाचें व्यत्पन्न हें तांच्या संज्ञांच्या व्यत्पन्नाची बेरीज आसता. खंयच्याय थीर संख्येचें व्यत्पन्न 0 आसता. हाचें व्यत्पन्न ax^{n} हें nax^{n-1} आसा.
6x^{5}
6 तल्यान 1 वजा करची.