Question

The value of (a+b)²+(a-b)² is
a)2a+2b
b)2a-2b
c)2a²+2b²
d)2a²-2b²​

Answer 1

Answer:(a+b)^2 + ( a-b)^2 = 2(a^2 + b^2 )

Step-by-step explanation:

Answer 2

Answer:

c) 2a² + 2b²

Step-by-step explanation:

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