Which expression is equivalent to 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034?
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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
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Answer:x^4 + 12x^3 + 54x^2 + 108x + 81
Step-by-step explanation:
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