Question

if
$2(a { }^{2} + b {}^{2} ) = (a + b) {}^{2}$
then show that a=b​

Answer 1

Step-by-step explanation:

2(a²+b²)=(a+b)²

2a²+2b²=a²+b²+2ab

a²+b²-2ab=0

(a-b)²=0

a-b=0

a=b

Answer 2

Answer:

2(a²+b²)=(a+b)²

2a²+2b²=a²+b²+2ab [a²+b² can be written as (a+b)²-2ab]

2a²-a²+2b²-b²=2ab

a²+b²=2ab

a²+b²-2ab=0 [a²+b²-2ab can be written as (a-b)²]

(a-b)²=0

a-b=√0 [√0=0]

a-b=0

a=b.

HOPE THIS HELPS :D