सोडोवचें r+2/r(r+3)-r-1/r(r+2)

$$\frac { r + 2 } { r ( r + 3 ) } - \frac { r - 1 } { r ( r + 2 ) }$$

मूल्यांकन करचें

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

संक्षिप्त समाधान पांवडे

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

$$\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

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

$$\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right) त गुणाकार करचे.

$$\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}$$

r^{2}+2r+2r+4-r^{2}-3r+r+3 त समान शब्द एकठांय करचे.

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

r\left(r+2\right)\left(r+3\right) विस्तारीत करचो.

$$\frac{2r+7}{r^{3}+5r^{2}+6r}$$

विस्तार करचो

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

संक्षिप्त समाधान पांवडे

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

$$\frac{\left(r+2\right)\left(r+2\right)}{r\left(r+2\right)\left(r+3\right)}-\frac{\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

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

$$\frac{\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right)}{r\left(r+2\right)\left(r+3\right)}$$

\left(r+2\right)\left(r+2\right)-\left(r-1\right)\left(r+3\right) त गुणाकार करचे.

$$\frac{r^{2}+2r+2r+4-r^{2}-3r+r+3}{r\left(r+2\right)\left(r+3\right)}$$

r^{2}+2r+2r+4-r^{2}-3r+r+3 त समान शब्द एकठांय करचे.

$$\frac{2r+7}{r\left(r+2\right)\left(r+3\right)}$$

r\left(r+2\right)\left(r+3\right) विस्तारीत करचो.

$$\frac{2r+7}{r^{3}+5r^{2}+6r}$$