Answer:
31 = 2⁵ -1
31 = 16²- 15²
Step-by-step explanation:
As we know that
2¹=2
2²= 4
2³= 8
2⁴= 16
2⁵=32
So
32 = 2⁵
By subtracting 1 in bot sides
32-1 = 2⁵ -1
31 = 2⁵ -1
So
2⁵ -1 = 31
By comparing with
[tex]2^p-1[/tex]
p= 5
As we know that
15²= 225
16² = 256
16²- 15² = 256-225 = 31
16²- 15² = (16+15)(16-15)
31 = (16+15)(16-15)
