Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3 and Use your expansion to find (1.9)5
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Answer:
(2 + X)⁵ = 32 + 80X + 80X² + 40X³ + 10X⁴ + X⁵
Step-by-step explanation:
Use binomial theorem to expand (2+X)5
(2 + X)⁵
= ⁵C₅2⁵X⁰ + ⁵C₁2⁴X + ⁵C₂2³X² + ⁵C₃2²X³ + ⁵C₄2¹X⁴ + ⁵C₅2⁰X⁵
= 2⁵ + 5*2⁴X + 10*2³X² + 10*2²X³ + 5*2X⁴ + X⁵
= 32 + 80X + 80X² + 40X³ + 10X⁴ + X⁵
(2 + X)⁵ = 32 + 80X + 80X² + 40X³ + 10X⁴ + X⁵
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