Put x2_ The factorization of 3y2 in the range of real number is

Put x2_ The factorization of 3y2 in the range of real number is

x2-3y2
=(x+√3y)(x-√3y)

Decomposition factor: 4x2-4xy-3y2-4x + 10y-3

4x2-4xy-3y2=(2x-3y)(2x+y)
Let a (2x-3y) + B (2x + y) = - 4x + 10Y
a+b=-2
-3a+b=10
a=-3,b=1
4x2-4xy-3y2-4x+10y-3
=(2x-3y)(2x+y)-3(2x-3y)+(2x+y)-3
=(2x-3y)(2x+y-3)+(2x+y-3)
=(2x-3y+1)(2x+y-3)

How to do 4x2-6xy-3y2 factorization? I will adopt it in time!

Let 4x & # 178; - 6xy-3y & # 178; = 0, X be the unknown, and the solution is X1 = (3 + radical 21) y / 4, X2 = (3-radical 21) y / 4
Original formula = 4 (x-x1) (x-x2)