Question

وه . 8.a square + b square ​

Answer 1

Solving a^2+b^2 will give us (a+b)^2 ☺ hope this helps...

Answer 2

Answer:

Two Solutions for this problem are,

$a^{2} + b^{2}$

= $(a+b)^{2} - 2ab$  and  $(a-b)^{2} + 2ab$

Step-by-step explanation:

First Solution:

As we know that,

$(a+b)^{2} = a^{2} + 2ab + b^{2}$

Now,

As per the problem,

=> $a^{2} + 2ab + b^{2} = (a+b)^{2}$

=> $a^{2} + b^{2} = (a+b)^{2} - 2ab$ (Ans) (i)

Second Solution:

Also,

We know that,

$(a-b)^{2} = a^{2} -2ab + b^{2}$

Now,

As per the problem,

=> $a^{2} - 2ab + b^{2} = (a-b)^{2}$

=> $a^{2} + b^{2} = (a-b)^{2} + 2ab$ (Ans) (ii)