将下列各式因式分解1.ab(a-b)-a(b-a)² 2.4(2x+3y)²-(3x-y)²3.(a-2b)²+(a-2b)-12 4.(a+b)²-2(a²-b²)+(a-b)²
问题描述:
将下列各式因式分解1.ab(a-b)-a(b-a)² 2.4(2x+3y)²-(3x-y)²
3.(a-2b)²+(a-2b)-12 4.(a+b)²-2(a²-b²)+(a-b)²
答
1.ab(a-b)-a(b-a)²=ab(a-b)-a(a-b)²=a(a-b)[b-(a-b)]=a(a-b)(2b-a)2.4(2x+3y)²-(3x-y)²=(4x+6y)²-(3x-y)²=(4x+6y+3x-y)(4x+6y-3x+y)=(7x+5y)(x+7y)3.(a-2b)&...