Question

6/a^2-7a+6 give the equivalent numerator if the denominator is (a-6)(a-1)(a+6)

Answer 1

The equation given is: $\frac{6}{ a^{2} - 7a+6 }$.

The second equation will have x as the unknown equivalent numerator with the denominator as (a-6)(a-1)(a+6). 

Simplifying the second equation would result to:
$\frac{x}{(a-6)(a-1)(a+6)} = [tex]\frac{6}{ a^{2} - 7a+6 }$

Equating the two equations:
$\frac{6}{ a^{2} - 7a+6 } = \frac{x}{ (a^{2} - 7a+6) (a+6) }$

x = 6(a+6). The numerator of the equivalent equation is 6(a+6).