5X^3Y(X-Y)-10X^4Y^3(Y-X)^2 Factorization

5X^3Y(X-Y)-10X^4Y^3(Y-X)^2 Factorization

5X^3Y(X-Y)-10X^4Y^3(Y-X)^2
=5x^3y(x-y)[1-2xy^2(x-y)]
=5x^3y(x-y)(1-2x^2y^2+2xy^3)

Find a point on the line 5x-3y + 15 = 0, so that the distance from the X axis is equal to 2 / 3 of the distance from the Y axis

X = 2 / 3Y, substituting
x=-30,y= -45

0.5x+3y+5z=100 x+y+z=100

Visual inspection is the problem of "a hundred chickens and a hundred dollars"
(1) X 2 - (2) was obtained
5y+9z＝100
9z＝100-5y
So, Z is also a multiple of 5
①z＝5,
Then y = 11,
x＝84
② z＝10,
Then y = 2,
x＝88