几道分解因式x²-12xy+36y²16a的4次方+24a²b²+9b的4次方-2xy-x²-y²4-12(x-y)+9(x-y)²

Question

几道分解因式
x²-12xy+36y²
16a的4次方+24a²b²+9b的4次方
-2xy-x²-y²
4-12(x-y)+9(x-y)²

Answer 1

x^2-12xy+36y^2
=(x+6y)^2
16a^4+24a^2b^2+9b^4
=(4a^2+3b^2)^2
-2xy-x^2-y^2
=-(x^2+2xy+y^2)
=-(x+y)^2
4-12(x-y)+9(x-y)^2
=[2-3(x-y)]^2
=(2-3x+3y)^2