1.If a=∑n=0∞xna = \displaystyle\sum_{n=0}^{\infty} x^na=n=0∑∞xn, b=∑n=0∞ynb = \displaystyle\sum_{n=0}^{\infty} y^nb=n=0∑∞yn, c=∑n=0∞(xy)nc = \displaystyle\sum_{n=0}^{\infty} (xy)^nc=n=0∑∞(xy)n where ∣x∣,∣y∣<1|x|, |y| < 1∣x∣,∣y∣<1, thena.abc=a+b+cabc = a + b + cabc=a+b+cb.ab+bc=ac+bab + bc = ac + bab+bc=ac+bc.ac+bc=ab+cac + bc = ab + cac+bc=ab+cd.ab+ac=bc+aab + ac = bc + aab+ac=bc+aLogin to continueOnly logged in users canattempt or see the solution.