Expressed as a product of its prime factors in index form, a number Nis N = 2 x 5^3 x x^4
Express 5N^2 as a product of prime factors in index form.
Give your answer in terms of x.

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answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?