Question

$\text{If a=b, show that abc=bac.}$

Answer 1

$\text{Given : a=b}\text{To show : abc=bac}\text{Proof :}abc=100a+10b+c...\left(i\right)\text{(By using property 3)}bac=100b+10a+c...\left(ii\right)\text{(By using property 3)}Since,a=b\text{Substitute the value of a=b in equation (i) and (ii), we get}abc=100b+10b+c...\left(iii\right)bac=100b+10b+c...\left(iv\right)\text{Subtracting (iv) from (iii)}abc-bac=0\therefore abc=bac\text{Hence proved.}$