MathematicsMedium178×since 2002Q5317If |x| < 1, |y| < 1 and x ≠\ne= y, then the sum to infinity of the following series (x + y) + (x²+xy+y²) + (x³+x²y + xy²+y³) + ....Ax+y−xy(1+x)(1+y){{x + y - xy} \over {\left( {1 + x} \right)\left( {1 + y} \right)}}(1+x)(1+y)x+y−xyBx+y−xy(1−x)(1−y){{x + y - xy} \over {\left( {1 - x} \right)\left( {1 - y} \right)}}(1−x)(1−y)x+y−xyCx+y+xy(1+x)(1+y){{x + y + xy} \over {\left( {1 + x} \right)\left( {1 + y} \right)}}(1+x)(1+y)x+y+xyDx+y+xy(1−x)(1−y){{x + y + xy} \over {\left( {1 - x} \right)\left( {1 - y} \right)}}(1−x)(1−y)x+y+xyCheck answerSkip