Question

We know that A➖ B whole square is equal to B➖ A whole square but if we remove the square from both side then A➖ B doesn't equal to B➖ A.why explain

Answer 1

Argument : - ( a- b) ² = ( b -a ) ² then after removing the square ,are resultants equal?

We know that;

a = - ( - a)

(a - b)²= [ - ( b- a) ] ²

( a - b ) ² = ( b - a) ²

Applying square root on both sides we get
$\sqrt{(a - b) ^{2} } = \sqrt{(b - a) ^{2} }$

± (a - b) = ± ( b - a)

=> + ( a - b) = - ( b - a) => a-b = a-b

=> -( a - b) = + ( b - a ) => b - a = b -a

Hence,

The equality of ( a - b) ² = ( b - a) ² is correct.