P is afacot of 48 and Q is a factor of 27, which of the following could not be a value of p^2-Q^2
a. 20
b. 0
c. 72
d. 5
e. None
a. 20
b. 0
c. 72
d. 5
e. None
I think the answer should be D. (5) (But I am debating with option A as well)
If u do the prime factorization of 48, you get 2^4*3^1.
Prime factorization of 27 is 3^3.
From here if you took 3^2 (factor of 48) and subtracted it by 3^2 (factor of 27) you end up with zero.
But if you also did 2^2(factor of 48) and subtracted it by 3^2(factor of 27) then you get -5.
Hence because I knew that 5 is an impossibility when you are subtracting q^2 from p^2 I chose it.
Is this correct?
