Question

Which expression is equivalent to 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034?

Answer 1

⁴C₀m⁴3⁰ + ⁴C₁m³3¹ + ⁴C₂m²3² + ⁴C₃m¹3³  + ⁴C₄m⁰3⁴ =  (m  + 3)⁴

Step-by-step explanation:

⁴C₀m⁴3⁰ + ⁴C₁m³3¹ + ⁴C₂m²3² + ⁴C₃m¹3³  + ⁴C₄m⁰3⁴

as we know that

(a + b)ⁿ  = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²n² +   ----------------------- + ⁿCₙ₋₁a¹bⁿ⁻¹ + ⁿCₙa⁰bⁿ

Here n = 4   a = m   b  = 3

Hence  (m  + 3)⁴

⁴C₀m⁴3⁰ + ⁴C₁m³3¹ + ⁴C₂m²3² + ⁴C₃m¹3³  + ⁴C₄m⁰3⁴ =  (m  + 3)⁴

Learn more:

Use binomial theorem to expand (2+X)5 in ascending powers of x ...

https://brainly.in/question/11212431

The first three terms in the binomial expansion of ( ) n x y + are 1, 56 ...

https://brainly.in/question/13197893

Q. Evaluate (99)4 with binomialexpansion 2​ - Brainly.in

https://brainly.in/question/12859498

Answer 2

Answer:x^4 + 12x^3 + 54x^2 + 108x + 81

Step-by-step explanation: