Question

what is the simplified form of... (x+4/x^2-3x-10) • (x-3/x^2+x-12)

Answer 1

In this problem 2*-5=-10 and 2-5=-3, so insert 2 as the right hand term of one factor and -5 as the right-hand term of the other factor.
((x+4)/((x+2)(x-5)))((x-3)/(x^(2)+x-12))

4*-3=-12 and 4-3=1, so insert 4 as the right hand term of one factor and -3 as the right-hand term of the other factor.
((x+4)/((x+2)(x-5)))((x-3)/((x+4)(x-3)))

Reduce the expression by canceling out the common factor of (x-3) from the numerator and denominator.
((x+4)/((x+2)(x-5)))(1)/(x+4)

Multiply ((x+4))/((x+2)(x-5)) by (1)/((x+4))
1/(x+2)(x-5)