Question

Find the seventh term in the expansion of
$\rm \bigg(\frac{4x}{5}-\frac{5}{2x}\bigg)^{9}$

Answer 1

hope this helps you........

Answer 2

Answer:

10500 / x³

Step-by-step explanation:

the seventh term in the expansion of

(4x/5  - 5/2x)⁹

= ⁹C₇₋₁ (4x/5)⁹⁺¹⁻⁷(-5/2x)⁷⁻¹

= ⁹C₆ (4x/5)³(-5/2x)⁶

= ( 9 * 8 * 7 / 3 * 2 * 1) ( 4/5)³ x³  ( 5/2)⁶  / x⁶

= 84 * 5³ / x³

= 84 * 125 /x³

= 10500 / x³

the seventh term in the expansion = 10500 / x³