27
(4x - 3y)(16x^2 + 12xy + 9y^2)
n=72 satisfies the relation. 2*72 = 12**2, and 3*72 = 6**3. The only question is whether or not that is the smallest integer that will do so. All perfect squares of which 2n is a factor are of form (2x)**2 = 4x**2, with n= 2x**2. Similarly all perfect cubes of which 3n is a factor are of form (3y)**3 = 27y**3 with n = 9y**3. So, we need integers x and y such that 2x**2 = 9y**3. If the integers x and y are the smallest that satisfy the equation, then we have the smallest n. It doesn't work for y = 1, or any other odd number. If y = 2, n = 72. There is a number x =6 which satisfies the relation. Since y is smallest possible, then n=72 is the smallest positive integer that satisfies the relation.
Yx7y = 7y2 (squared )
(y + 27)(y^2 - 27y + 729)
Since 27y is a factor of 54y3, it is automatically the GCF.
Since 27y is a factor of 54y3, it is automatically the GCF
Since 54y3 is a multiple of 27y, it is automatically the LCM.
35
5*3y+1+12y-1 = 15y+1+12y-1 = 27y.
189xy
27
It depends on where there are parentheses, if there are any. y + 33 + 2/4 = y + 27.5 (y+3)3 + 2/4 = y3 + 9y2 + 27y + 27.5
7 y - 4 + y + 5 = 287 y + y + 1 = 288 y + 1 = 288 y = 27y = 27/8y = 3.375
9(x - 3y)