因式分解4分之9 a^2-ab+9分之1 b^2 因式分解

4分之9 a^2-ab+9分之1 b^2 = (3a/2)²-ab+(b/3)²=(3a/2-b/3)²=(9a-2b)²/36
2分之1 x^2-2= (x²-4)/2=(x-2)(x+2)/2
X^5-2x^3+x=x(x^4-2x²+1)=x(x²-1)²=x(x-1)²(x+1)²
45ax^2-60axy+20ay^2= 5a[(3x) ²-12xy+(2y)²]=5a(3x-2y)²
( x-1)^2-x-1= x²-2x+1-x-1=x²-3x=x(x-3)
4(x-y）^2-2(y-x）^3=2(x-y)²[2-(y-x)]=2(x-y)²(2+x-y)
(a^2-4b^2)x^2+9(4b^2-a^2)y^2=(a²-4b²)(x²-9y²)=(a-2b)(a+2b)(x-3y)(x+3y)