1.x^2+x-4y^2-2y
=(x+2y)(x-2y)+(x-2y)
=(x-2y)(x+2y+1)
2.(x^2+3x-2)(x^2+3x+4)-16
=(x^2+3x)^2+2(x^2+3x)-8-16
=(x^2+3x)^2+2(x^2+3x)-24
=(x^2+3x+6)(x^2+3x-4)
=(x^2+3x+6)(x+4)(x-1)
1.x^2+x-4y^2-2y
=(x+2y)(x-2y)+(x-2y)
=(x-2y)(x+2y+1)
2.(x^2+3x-2)(x^2+3x+4)-16
=(x^2+3x)^2+2(x^2+3x)-8-16
=(x^2+3x)^2+2(x^2+3x)-24
=(x^2+3x+6)(x^2+3x-4)
=(x^2+3x+6)(x+4)(x-1)