Expand the following binomials: (x - 3)5 - Vidyadip

MCQ

Expand the following binomials: (x - 3)⁵

A
x⁵+ 25x⁴ + 90x³ - 270x² + 405x - 243
B
x⁵ - 15x⁴ + 90x³ - 270x² - 405x - 243
C
x⁵ - 15x⁴ + 80x³ - 270x² + 405x - 243
D
x⁵ - 15x⁴ + 90x³ - 270x² + 405x - 243

✓

Answer

x⁵ - 15x⁴ + 90x³ - 270x² + 405x - 243

Solution:

(x - 3)⁵ = ⁵C₀x⁵ + ⁵C₁x⁴(-3)¹ + ⁵C₂x³(-3)²+ ⁵C₃x²(-3)³ + ⁵C₄x (-3)⁴ + ⁵C₅(-3)⁵

= x⁵ -15x⁴ + 90x³ - 270x² + 405x - 243

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