The fourth term in the expansion (x - 2y)12 is: - Vidyadip

MCQ

The fourth term in the expansion (x - 2y)¹² is:

A
-1670 x⁹× y³
B
-7160 x⁹× y³
C
-1760 x⁹× y³
D
-1607 x⁹× y³

✓

Answer

-7160 x⁹× y³

Solution:

4th term in (x - 2y)¹² = T₄

= T_{3 + 1}

= ¹²C₃ (x)^{12 - 3} × (-2y)³

= ¹²C₃ x⁹ × (-8y³)

$ = {\frac{(12 × 11 × 10)}{(3 × 2 × 1)} × \text{x}^9 ×(-8\text{y}^³)}$

= - (2 × 11 ×10 × 8) × x⁹ × y³

= -1760 x⁹ × y³

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