Question

reduce the following to the lowest terms x²+5x+6/x²+7x+12​

Answer 1

Step-by-step explanation:

x²+5x+6/x²+7x+12

factorize the given term we get

(x+3)(x+2)/(x+4)(x+2)

therefore (x+3)/(x+4)

Answer 2

Answer:

Given,

X^2+7X+12/X^2+5X+6

Step-by-step explanation:

X^2+4X+3X+12/X^2+3X+2X+6 (by splitting middle term)

X(X+4)+3(X+4)/X(X+3)+2(X+3)

(X+4)(X+3)/(X+3)(X+2)

(X+4)/(X+2)

2(X+2)/2(X+1)

(X+2)/(X+1)

Hence,(X+2)/(X+1) is final answer