If a = 2 and b = 3 , find the value of

1. $a + b$

. $a^{2} + ab$ 
3. $ab - a^{2}$
4. $2a - 3b$
5. $5a^{2} - 2ab$

Given :


a = 2   ;  b = 3

To do:

We have to find the values of given expressions.

Solution: 

1.  $a+b  =  2 + 3 $

   $ a + b = 5 $

2.  $a^{2} + ab  =  2^{2}+ 2\times3$

                            = $ 4 + 6$

 $a^{2} + ab  = 10$

3. $ab - a^{2}  =  2\times3 - 2^{2}$

                           = $6 - 4$

 $ab - a^{2}  =  2$

4. $2a - 3b = 2\times2 - 3\times3$

                     =  $4 - 9$

$2a - 3b = - 5$

5. $5a^{2} - 2ab = 5\times2^{2} - 2\times2\times3$

                              = $5\times4 - 12$
 
                             = $20 - 12$

$5a^{2} - 2ab = 8$.

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Updated on: 10-Oct-2022

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