Question

(a+b)^2=10 (a-b)^2=4 . a^2+b^2=?

Answer 1

Answer:

7

Step-by-step explanation:

(a+b)^2=10

a^2 + b^2 + 2ab = 10 ------- 1

(a-b)^2=4

a^2 + b^2 - 2ab = 4 ---------2

Adding eqn 1 and 2 we get,

a^2 + b^2 + 2ab + a^2 + b^2 - 2ab = 10 + 4

2 ( a^2 + b^2 ) = 14

a^2 + b^2 = 7

Good question, hope it helps and have a nice day!