Search for: If the expansion in powers of x of the function 1(1−ax)(1−bx) is a0+a1x+a2x2+a3x3+……… then an is:If the expansion in powers of x of the function 1(1−ax)(1−bx) is a0+a1x+a2x2+a3x3+……… then an is:Aan−bnb−aBan+1−bn+1b−aCbn+1−an+1b−aDbn−anb−a Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:1(1−ax)(1−bx)=1a-ba1-ax-b1-bx 1(1−ax)(1−bx)=aa−b(1−ax)−1+bb−a(1−bx)−1, coefficient of xn is a⋅ana−b+b⋅bnb−a=bn+1b-a-an+1b-a⇒coefficient of xn=bn+1−an+1b−aPost navigationPrevious: If 2w+1=3i, then the determinant Δ=1111−1−w2w21w2w4 is Next: If y=mx+c is tangent to the hyperbola x2a2−y2b2=1having eccentricity 5, then the least positive integral value of m isRelated content NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023