I need you to explain your answer, please.

Answer:
7√6 - 5√7
Step-by-step explanation:
5√7 + 12√6 - 10√7 - 5√6 (rearranging)
= (5√7 - 10√7) + (12√6 - 5√6) (factor out √6 and √7 respectively)
= (5 - 10) √7 + (12 - 5)√6
= -5√7 + 7√6 (rearrange)
= 7√6 - 5√7