Respuesta :

gmany

Answer:

[tex]\large\boxed{LCD=(a-1)(a-6)(a+6)}[/tex]

Step-by-step explanation:

[tex]\dfrac{6}{a^2-7a+6}=\dfrac{6}{a^2-a-6a+6}=\dfrac{6}{a(a-1)-6(a-1)}\\\\=\dfrac{6}{(a-1)(a-6)}\\--------------------------\\\dfrac{3}{a^2-36}\qquad\text{use}\ x^2-y^2-(x-y)(x+y)\\\\=\dfrac{3}{a^2-6^2}=\dfrac{3}{(a-6)(a+6)}\\\\LCD=(a-1)(a-6)(a+6)[/tex]

wegnerkolmp2741o

Answer:

(a-6) (a-1) (a+6)

Step-by-step explanation:

Factor the first denominator

(a^2 -7a+6)

What 2 numbers multiply together to give us 6 and add together to give us -7

-6*-1 = 6

-6+-1 = -7

(a-6) (a-1)

Factor the second denominator

a^2 - 36

This is the difference of squares

(a-6) (a+6)

We need the LCD or leas common denominator

Look at each term and put it in the denominator the least number of times it appears

(a-6) (a-1) (a+6)

This is the least common denominator

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