If the expansion in powers of x of the function 1 (1-a x)(1-b x) is a_ n +a_ 1 x+a_ 2 x^…

Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications

1. \(\frac{b^{n+1}-a^{n+1}}{b-a}\)
2. \(\frac{b^{n}-a^{n}}{b-a}\)
3. \(\frac{a^{n}-b^{n}}{b-a}\)
4. \(\frac{\mathbf{a}^{n+1}-\mathbf{b}^{n+1}}{\mathbf{b}-\mathbf{a}}\)

Answer

(A) b^ n+1 -a^ n+1 b-a

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• The number of integral terms in the expansion of ( 3 + 2 )^ 500 is :
• The coefficient of x 18 in the product (1+x)(1-x)^ 1 (1+x+x^ 2 )^ 3 is:
• The value of ( ^ 7 C_ 0 + ^ 7 C_ 1 )+ ( ^ 7 C_ 1 + ^ 7 C_ 2 )+ + ( ^ 7 C_ 6 + ^ 7 C_ 7 ) is
• If x is so small that x^ 3 and higher powers of x may be neglected, then (1+x)^ 3 / 2 - (1+ 1 2 x )^ 3 (1-x)^…
• The ninth term of the expansion (3 x- 1 2 x )^ is
• If (1-x+x^ 2 )^ 7 =a_ n +a_ 1 x+ +a_ 2 n x^ 2 n then the value of a_ n +a_ 2 +a_ 4 + +a_ 2 n i 5
• If n N and the coefficients of x –7 and x –8 to the expansion of (2+ 1 3 x )^ n are equal then n =
• Statement I : _ r =0 ^ n ( r +1) ^ n C _ r =( n +2) 2^ n -1 Statement II : _ r =0 ^ n ( r +1)^ n C _ r x ^ r…

More Binomial Theorem And Its Simple Applications questions · Browse all practice questions