Search for: The coefficient of x3 in the expansion of (1−x+x2)6 is The coefficient of x3 in the expansion of (1−x+x2)6 is ABCD Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution: (1−x+x2)6=[1−x(1−x)]6 =6C0−6C1x(1−x)+6C2x2(1−x)2−6C3x3(1−x)3+…to 7 terms =6C0−6C1x(1−x)+6C2x2(1−2x+x2)−6C3x3(1−3x+3x2−x3)+…to 7 terms∴Coefficient of x3=−2⋅6C2−6C3 (collecting coefficients of x3 from each term)=−26!2!4!−6!3!3!=−50 Related content CBSE Class 11 English Core Writing and Grammar – Tenses Worksheet Top 10 Maths Project for Class 6 Class 10 Maths MCQs How to Download NTA NEET Admit Card 2024 Rashi And Nakshatra Quiz CBSE MCQ for Class 10 Science Genes – Definition, Structure, Diagram and its Types Octal to Binary Converter Km to cm Conversion mm to km Conversion