सोडोवचें 2x/x+5-x/x-3*x^2/x-3-(x+1)^2/x+3

$$\frac { 2 x } { x } + 5 - \frac { x } { x - 3 } \times \frac { x ^ { 2 } } { x - 3 } - \frac { ( x + 1 ) ^ { 2 } } { x + 3 }$$

मूल्यांकन करचें

$$\frac{180-75x-19x^{2}+8x^{3}-2x^{4}}{\left(x+3\right)\left(x-3\right)^{2}}$$

संक्षिप्त समाधान पांवडे

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x रद्द करचो.

$$2+5-\frac{x}{x-3}\times \frac{x^{2}}{x-3}-\frac{\left(x+1\right)^{2}}{x+3}$$

7 मेळोवंक 2 आनी 5 ची बेरीज करची.

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

न्युमरेटर वेळा न्युमरेटराक आनी डिनोमिनेटर वेळा डिनोमिनेटराक गुणून \frac{x^{2}}{x-3} वेळा \frac{x}{x-3} गुणचें.

$$7-\frac{xx^{2}}{\left(x-3\right)\left(x-3\right)}-\frac{\left(x+1\right)^{2}}{x+3}$$

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 1 आनी 2 जोडचो.

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

\left(x-3\right)^{2} मेळोवंक x-3 आनी x-3 गुणचें.

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

ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \frac{\left(x-3\right)^{2}}{\left(x-3\right)^{2}}क 7 फावटी गुणचें.

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

\frac{7\left(x-3\right)^{2}}{\left(x-3\right)^{2}} आनी \frac{x^{3}}{\left(x-3\right)^{2}} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.

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

7\left(x-3\right)^{2}-x^{3} त गुणाकार करचे.

$$\frac{7x^{2}-42x+63-x^{3}}{\left(x-3\right)^{2}}-\frac{\left(x+1\right)^{2}}{x+3}$$

ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \left(x-3\right)^{2} आनी x+3 चो किमान सामान्य गुणाकार आसा \left(x+3\right)\left(x-3\right)^{2}. \frac{x+3}{x+3}क \frac{7x^{2}-42x+63-x^{3}}{\left(x-3\right)^{2}} फावटी गुणचें. \frac{\left(x-3\right)^{2}}{\left(x-3\right)^{2}}क \frac{\left(x+1\right)^{2}}{x+3} फावटी गुणचें.

$$\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)^{2}}-\frac{\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)^{2}} आनी \frac{\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.

$$\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)-\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)-\left(x+1\right)^{2}\left(x-3\right)^{2} त गुणाकार करचे.

$$\frac{7x^{3}+21x^{2}-42x^{2}-126x+63x+189-x^{4}-3x^{3}-x^{4}+6x^{3}-9x^{2}-2x^{3}+12x^{2}-18x-x^{2}+6x-9}{\left(x+3\right)\left(x-3\right)^{2}}$$

7x^{3}+21x^{2}-42x^{2}-126x+63x+189-x^{4}-3x^{3}-x^{4}+6x^{3}-9x^{2}-2x^{3}+12x^{2}-18x-x^{2}+6x-9 त समान शब्द एकठांय करचे.

$$\frac{8x^{3}-19x^{2}-75x+180-2x^{4}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\left(x+3\right)\left(x-3\right)^{2} विस्तारीत करचो.

$$\frac{8x^{3}-19x^{2}-75x+180-2x^{4}}{x^{3}-3x^{2}-9x+27}$$

विस्तार करचो

$$\frac{180-75x-19x^{2}+8x^{3}-2x^{4}}{\left(x+3\right)\left(x-3\right)^{2}}$$

संक्षिप्त समाधान पांवडे

न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय x रद्द करचो.

$$2+5-\frac{x}{x-3}\times \frac{x^{2}}{x-3}-\frac{\left(x+1\right)^{2}}{x+3}$$

7 मेळोवंक 2 आनी 5 ची बेरीज करची.

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

न्युमरेटर वेळा न्युमरेटराक आनी डिनोमिनेटर वेळा डिनोमिनेटराक गुणून \frac{x^{2}}{x-3} वेळा \frac{x}{x-3} गुणचें.

$$7-\frac{xx^{2}}{\left(x-3\right)\left(x-3\right)}-\frac{\left(x+1\right)^{2}}{x+3}$$

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक 1 आनी 2 जोडचो.

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

\left(x-3\right)^{2} मेळोवंक x-3 आनी x-3 गुणचें.

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

ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \frac{\left(x-3\right)^{2}}{\left(x-3\right)^{2}}क 7 फावटी गुणचें.

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

\frac{7\left(x-3\right)^{2}}{\left(x-3\right)^{2}} आनी \frac{x^{3}}{\left(x-3\right)^{2}} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.

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

7\left(x-3\right)^{2}-x^{3} त गुणाकार करचे.

$$\frac{7x^{2}-42x+63-x^{3}}{\left(x-3\right)^{2}}-\frac{\left(x+1\right)^{2}}{x+3}$$

ऍक्सप्रेशन जमा करूंक वा वजा करूंक, तांचे डिनोमिनेटर तसोच दवरूंक विस्तारावचें. \left(x-3\right)^{2} आनी x+3 चो किमान सामान्य गुणाकार आसा \left(x+3\right)\left(x-3\right)^{2}. \frac{x+3}{x+3}क \frac{7x^{2}-42x+63-x^{3}}{\left(x-3\right)^{2}} फावटी गुणचें. \frac{\left(x-3\right)^{2}}{\left(x-3\right)^{2}}क \frac{\left(x+1\right)^{2}}{x+3} फावटी गुणचें.

$$\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)^{2}}-\frac{\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)^{2}} आनी \frac{\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}} चे समान डिनोमिनेटर आशिल्ल्यान, तांचे न्युमरेटर वजा करून तांची वजाबाकी करची.

$$\frac{\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)-\left(x+1\right)^{2}\left(x-3\right)^{2}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\left(7x^{2}-42x+63-x^{3}\right)\left(x+3\right)-\left(x+1\right)^{2}\left(x-3\right)^{2} त गुणाकार करचे.

$$\frac{7x^{3}+21x^{2}-42x^{2}-126x+63x+189-x^{4}-3x^{3}-x^{4}+6x^{3}-9x^{2}-2x^{3}+12x^{2}-18x-x^{2}+6x-9}{\left(x+3\right)\left(x-3\right)^{2}}$$

7x^{3}+21x^{2}-42x^{2}-126x+63x+189-x^{4}-3x^{3}-x^{4}+6x^{3}-9x^{2}-2x^{3}+12x^{2}-18x-x^{2}+6x-9 त समान शब्द एकठांय करचे.

$$\frac{8x^{3}-19x^{2}-75x+180-2x^{4}}{\left(x+3\right)\left(x-3\right)^{2}}$$

\left(x+3\right)\left(x-3\right)^{2} विस्तारीत करचो.

$$\frac{8x^{3}-19x^{2}-75x+180-2x^{4}}{x^{3}-3x^{2}-9x+27}$$