Question

a^2-5ab+6b^2/a^2+ab-12b^2 ​

Answer 1

Answer:

(a-2b)/(a+4b)

Step-by-step explanation:

(a^2-5ab+6b^2)/(a^2+ab-12b^2)

(a^2-3ab-2ab+6b^2)/(a^2+4ab-3ab-12b^2)

[a(a-3b)-2b(a-3b)]/[a(a+4b)-3b(a+4b)]

[(a-2b)(a-3b)]/[(a-3b)(a+4b)]

(a-2b)/(a+4b)

This cannot be solved ahead because

this is a recurring fraction after dividing