The value of ( 5 + 1)^5 - ( 5 - 1)^5 is - Vidyadip

MCQ

The value of ${(\sqrt 5 + 1)^5} - {(\sqrt 5 - 1)^5}$ is

A
$252$
✓
$352$
C
$452$
D
$532$

✓

Answer

Correct option: B.

$352$

b
(b) ${(\sqrt 5 + 1)^5} - {(\sqrt 5 - 1)^5}$

$ = 2\left\{ {^5{C_1}{{(\sqrt 5 )}^4}{ + ^5}{C_3}{{(\sqrt 5 )}^2}{ + ^5}{C_5}.1} \right\}$

$= 352$

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