Question

Please help me i dont understand

Answer 1

Answer:
`15*(x-3)^2*(x-5)`

Explanation:

`(x^2-y^2)/(x^2-8x+15)\ and\ (y^2)/(15(x^2-6x+9)) \\\\\\x^2-8x+15=x^2-3x-5x+15=x(x-3)-5(x-3)=(x-3)(x-5)\\\\15(x^2-6x+9)=15*(x-3)^2\\\\LCM (x^2-8x+15,15(x^2-6x+9)\\\\=LCM((x-3)(x-5),15(x-3)^2)\\\\\boxed{=15*(x-3)^2*(x-5)}\\`