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Ipatiy [6.2K]
3 years ago
6

Please help me i dont understand

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

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

Step-by-step explanation:

\dfrac{x^2-y^2}{x^2-8x+15}\ and\ \dfrac{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)}\\

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