(i) If a=xm+nyl, b=xn+lym and c=xl+myn, prove that am-nbn-lcl-m=1.(ii) If x=am+n, y=an+l and z=al+m, prove that xmynzl=xnylzm.

(i) If a=xm+nyl, b=xn+lym and c=xl+myn, prove that am-nbn-lcl-m=1.(ii)

1.	(i) If a=xm+nyl, b=xn+lym and c=xl+myn, prove that am-nbn-lcl-m=1.(ii) If x=am+n, y=an+l and z=al+m, prove that xmynzl=xnylzm.
Answer» (i) If $a = x^{m + n} y^{l}, b = x^{n + l} y^{m} and c = x^{l + m} y^{n}$ , prove that $a^{m - n} b^{n - l} c^{l - m} = 1$ . (ii) If $x = a^{m + n}, y = a^{n + l} and z = a^{l + m}$ , prove that $x^{m} y^{n} z^{l} = x^{n} y^{l} z^{m}$ .