If p4+q(3)=2(p>0,q>0), then the maximum value of term independent of x in the expansion of (px121+qx−91)14 is
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Find the expansion of (3x2−2ax+3a2)3using binomial theorem.
Prove that nC0nC0−n+1C1nC1+n+2C2nC2≡(−1)n˙
represent the terms in the expansion of (x+a)n,
then find the value of (T0−T2+T4−)2+(T1−T3+T5−)2n∈N˙
is very large as compare to y,
prove that x+yxx−yx˙=1+2x2y2
Find the coefficient of a4in the product (1+2a)4(2−a)5using binomial theorem.
Show that 9n+1−8n−9
is divisible by 64, where n
is a positive integer.
Prove that r=0∑ss=1∑nnCsnCr=3n−1.