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