Compere the number P=888...888x333...333 and Q=444...444x666...667,where each has 2017 digits

Toán tiếng anh: A rectangle has length pcm and width qcm, where p and q are integer. If p and q satisfy the equation pq+q=13+q² then the maximum possible area of the rectangle is.........

Find the value of the last three digits in the following: 

3+33+333+...+333...333 ( has 30"3"s)

prove that

:a=4^{3^2014-1} is a composite number

b)b=11...1(2014 digits 1) + 444...4 + 1 is a square number

so sánh:

a) 10³⁰ và 2¹⁰⁰

b) 333⁴⁴⁴ và 444³³³

c) 13⁴⁰ và 2¹⁶¹

d)5³⁰⁰ và 3⁴⁵³

giải chi tiết hộ mìk nhé! thanks!

Fill in the circles with the numbers 1, 2, 3, 4, 5, 6 and 7. Each number can be used once without repetitions. The sum of the digits inside the circles at the four vertices of the square on the left is 15 and the sum of the digits inside the circles at the vertices of the regular pentagon on the right is 24. How many possible arrangements are there?

the sum of the digits of a certain two - digits number is 11. when you reverse its digits you decrease the number by 9

the sum of the digits of a two-digit number is 11. when you reverse its digits you decrease the number by 9 . Find the number

Prove that the number \(a=\overline{1...15...56}\) is a perfect square.

   ( 2012 digits 1, 2011 digits 5 )