\(a,=\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)\\ b,=\left(x-y\sqrt{3}\right)\left(x+y\sqrt{3}\right)\\ c,=\left(3x-2y-2x+3y\right)\left(3x-2y+2x-3y\right)\\ =\left(x-y\right)\left(5x-5y\right)\\ =5\left(x-y\right)\left(x+y\right)\)
a) \(x^4-y^4=\left(x^2-y^2\right)\left(x^2+y^2\right)=\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)\)
b) \(x^2-3y^2=\left(x-\sqrt{3}y\right)\left(x+\sqrt{3}y\right)\)
c) \(\left(3x-2y\right)^2-\left(2x-3y\right)^2=\left(3x-2y-2x+3y\right)\left(3x-2y+2x-3y\right)=5\left(x+y\right)\left(x-y\right)\)
\(a.x^4-y^4\\ =\left(x^2-y^2\right)\left(x^2+y^2\right)\\ =\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)\\ b.x^2-3y^2\\ =\left(x-\sqrt{3}y\right)\left(x+\sqrt{3}y\right)\)
