सोडोवचें frac{24x(x^{3}+1)^{3/2}-3x^{2}(72x^{2}(x^3+1)^7/2)}{16(x^3+1)^3/2}

$$\frac { 24 x ( x ^ { 3 } + 1 ) ^ { 3 / 2 } - 3 x ^ { 2 } ( 72 x ^ { 2 } ( x ^ { 3 } + 1 ) ^ { 7 / 2 } ) } { 16 ( x ^ { 3 } + 1 ) ^ { 3 / 2 } }$$

मूल्यांकन करचें

$$-\frac{27x^{10}}{2}-27x^{7}-\frac{27x^{4}}{2}+\frac{3x}{2}$$

संक्षिप्त समाधान पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 4 मेळोवंक 2 आनी 2 जोडचो.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 72\left(x^{3}+1\right)^{\frac{7}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

216 मेळोवंक 3 आनी 72 गुणचें.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-216x^{4}\left(x^{3}+1\right)^{\frac{7}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

आदींच फॅक्टर्ड नाशिल्लें ऍक्सप्रेशन फॅक्ट करचें.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-9x^{9}-18x^{6}-9x^{3}+1\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 8\left(x^{3}+1\right)^{\frac{3}{2}} रद्द करचो.

$$\frac{3x\left(-9x^{9}-18x^{6}-9x^{3}+1\right)}{2}$$

ऍक्सप्रेशन विस्तारचें.

$$\frac{-27x^{10}-54x^{7}-27x^{4}+3x}{2}$$

गुणकपद

$$\frac{3x\left(1-9x^{3}-18x^{6}-9x^{9}\right)}{2}$$

सोडोवणी पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 4 मेळोवंक 2 आनी 2 जोडचो.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 72\left(x^{3}+1\right)^{\frac{7}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

216 मेळोवंक 3 आनी 72 गुणचें.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-216x^{4}\left(x^{3}+1\right)^{\frac{7}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-216x^{4}\left(x^{3}+1\right)^{\frac{7}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}} आदींच फॅक्टर्ड नाशिल्लें ऍक्सप्रेशन फॅक्ट करचें.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-9x^{9}-18x^{6}-9x^{3}+1\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 8\left(x^{3}+1\right)^{\frac{3}{2}} रद्द करचो.

$$factor(\frac{3x\left(-9x^{9}-18x^{6}-9x^{3}+1\right)}{2})$$

-9x^{9}-18x^{6}-9x^{3}+1 न 3x गुणपाक विभाजक विशमाचो वापर करचो.

$$factor(\frac{-27x^{10}-54x^{7}-27x^{4}+3x}{2})$$

विचारांत घेयात -27x^{10}-54x^{7}-27x^{4}+3x. 3 गुणकपद काडचें.

$$3\left(-9x^{10}-18x^{7}-9x^{4}+x\right)$$

विचारांत घेयात -9x^{10}-18x^{7}-9x^{4}+x. x गुणकपद काडचें.

$$x\left(-9x^{9}-18x^{6}-9x^{3}+1\right)$$

पुराय फॅक्टर केल्लें एक्सप्रेशन परत बरोवचें. सोंपें करचें. पोलिनोमियल -9x^{9}-18x^{6}-9x^{3}+1 फॅक्टर करूंना कारण तातूंत खंयचेच रॅशनल वर्ग नात.

$$\frac{3x\left(-9x^{9}-18x^{6}-9x^{3}+1\right)}{2}$$