Question

Find the value of (x+y)² + (x-y)2​

Answer 1

${(x + y)}^{2} + {(x - y)}^{2} \\ = {(x}^{2} + 2xy + {y}^{2} ) + ( {x}^{2} - 2xy + {y}^{2} ) \\ = {x}^{2} + 2xy + {y}^{2} + {x}^{2} - 2xy + {y}^{2} \\ combining \: like \: terms \\ {x}^{2} + {x}^{2} + {y}^{2} + {y}^{2} + 2xy - 2xy \\ = 2 {x}^{2} + 2 {y}^{2}$

$( + 2xy - 2xy)get \: cancels \: out$

∴Answer is

$2 {x}^{2} + 2 {y}^{2}$

Answer 2

Step-by-step explanation:

( +y+ (t - y)

= (r +2æy +) + ( - 2ry + u)

+2aæy+y + - 2ry +v

combining like terms

+a + y +y + 2ay 2axy

= 2 +2y

(+2ary 2ary)get cancels out

Answer is

2a +2