Question

(√2+√5−√2)−(√2+√5−√9)=1​

Answer 1

Answer:

(√2+√5−√2)−(√2+√5−√9)=1

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Step-by-step explanation:

Answer 2

S=(1+5
2
​
x)
9
+(1−5
2
​
x)
9

Let k=5
2
​

Then the above binomial expansion changes to
S=(1+k)
9
+(1−k)
9


=[1+
9
C
1
​
k+
9
C
2
​
k
2
+...
9
C
9
​
k
9
]+[1−
9
C
1
​
k+
9
C
2
​
k
2
−
9
C
3
​
k
3
...−
9
C
9
​
k
9
]

=2[1+
9
C
2
​
k
2
+
9
C
4
​
k
4
+
9
C
6
​
k
6
+
9
C
8
​
k
8
]
Hence in total 5 terms will be there.