Question

a+b whole square + (a-b) whole square= ?​

Answer 1

Answer:

(a+b)²+(a-b)²

=(a²+b²+2ab)+(a²+b²-2ab)

=a²+b²+2ab+a²+b²-2ab

=2a²+2b²

Answer 2

Question:-

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

Used Formulae:-

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

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

Solution:-

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

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

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

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

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