因式分解(a-b)²-81(a+b)²急!
问题描述:
因式分解(a-b)²-81(a+b)²急!
答
=(a-b)²-[9(a+b)]²
=(a-b)²-(9a+9b)²
=(a-b+9a+9b)(a-b-9a-9b)
=(10a-8b)(-8a-10b)
=-4(5a-4b)(4a+5b)