The Total solution for NCERT class 6-12
Find (a + b)4 –(a – b)4. Hence, evaluate .
Answer - 11 : -
Using Binomial Theorem, theexpressions, (a + b)4 and (a – b)4,can be expanded as
Find (x + 1)6 +(x – 1)6. Hence or otherwise evaluate .
Answer - 12 : -
Using Binomial Theorem, theexpressions, (x + 1)6 and (x – 1)6,can be expanded as
By putting , we obtain
Show that is divisible by 64,whenever n is a positive integer.
Answer - 13 : -
Thus, is divisible by 64,whenever n is a positive integer.
Answer - 14 : -
By Binomial Theorem,
By putting b = 3and a = 1 in the above equation, we obtain
Hence, proved.