MathematicsMedium64×since 2002Q2962If the expansion in powers of xxx of the function 1(1−ax)(1−bx){1 \over {\left( {1 - ax} \right)\left( {1 - bx} \right)}}(1−ax)(1−bx)1 is a0+a1x+a2x2+a3x3.....{a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}.....a0+a1x+a2x2+a3x3..... then an{a_n}an isAbn−anb−a{{{b^n} - {a^n}} \over {b - a}}b−abn−anBan−bnb−a{{{a^n} - {b^n}} \over {b - a}}b−aan−bnCan+1−bn+1b−a{{{a^{n + 1}} - {b^{n + 1}}} \over {b - a}}b−aan+1−bn+1Dbn+1−an+1b−a{{{b^{n + 1}} - {a^{n + 1}}} \over {b - a}}b−abn+1−an+1Check answerSkip