Question

n=2p-3,n*n\4 what is reminder

Answer 1

Answer:

Given :   n =2p-3,  p ∈ N    ,

To Find : remainder if divide n² by 4

Solution:

n =2p-3,

Squaring both sides

=> n² = (2p - 3)²

=> n² = (2p)²  - 2(2p)3 + 3²

=> n² = 4p²  - 4p(3)  + 9

=> n² = 4.p² - 4.3p  +  8 + 1

=> n² = 4(p²  - 3p  + 2 )  + 1

=> n² = 4k + 1

if divide n² by 4  then remainder =  1  

Step-by-step explanation: