Use mathematical induction to divisible by 5 for all nt Ni int: Use the binomial formula: (a+b)² = 0² +50² b + 100³b² + 100²6²³² +5064 +65 prove that n²³-n is.

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: Which is the correct expansion of (x+4y)^3 using the binomial theorem?

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Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

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Q: . (a) Find the coefficient of r in the expansion of ‹ (² + ²)² (+ -)

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Q: use tge binomial formula to find the coefficient of the q24z term in the expansion of (q-3z)25

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Q: Use the binomial theorem to expand the following expression. (u – v)5 By the binomial theorem with 5…

A: Given expression (u-v)5 Using binomial theorem,

Q: Find the binomial expansion of (1+0.05)1/2 Show each step

A: The binomial expansion is given below_

Q: Use the binomial theorem to show that 72 Σ(1) ( **(?). i-0 0.

A: Use binomial theorem to show that given formula.

Q: Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

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Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

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