You can put this solution on YOUR website! x^2+x-6;x^2+8+15;x^2-25....I think this is not correct x^2+8+15..this is x^2+8x+15....assuming so
x^2+x-6=x^2+3x-2x-6=x(x+3)-2(x+3)=(x+3)(x-2)
x^2+8x+15=x^2+3x+5x+15=x(x+3)+5(x+3)=(x+5)(x+3)
x^2-25=(x+5)(x-5)
to find the lcm ..list all factors omitting the duplicated or common factors
so lcm is (x+3)(x-2)(x+5)(x-5)