-18x²(a-b)-12y²(b-a)
= 12y²(a-b)-18x²(a-b)
=6(a-b)(2y²-3x²)
=6(a-b)(√2y+√3x)(√2y-√3x)
9(x+y)²-4(x-y)²
=[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(5x+y)(x+5y)
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
-2m²+36mn-162n²
=-2(m²-18mn+81)
=-2(m-9)²
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²