The product of two integers is p. If these integers are doubled the multiplied, what will be the answer in terms of p?

Question

What will be the answer and solution please.

Answer 1

The product of two integers is p. If these integers are doubled then multiplied, what will be the answer in terms of p?

Let the two integers be m and n.

Then, there product, mn = p

Now double the integers, giving (2m) and (2n), and multiply them, giving p2 = (2m)*(2n)

p2 = 2*m*2*n = 2*2*m*n = 4*mn

p2 = 4p