[分组分解法(分解因式)](1)a²-3a+b²-3b+2ab-54(2)x²+8xy+16y²+3x+12y+2(3)4-a²+4ab-4b²(4)x²+4y-1-4y²
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![[分组分解法(分解因式)](1)a²-3a+b²-3b+2ab-54(2)x²+8xy+16y²+3x+12y+2(3)4-a²+4ab-4b²(4)x²+4y-1-4y²](/uploads/image/z/4337252-44-2.jpg?t=%5B%E5%88%86%E7%BB%84%E5%88%86%E8%A7%A3%E6%B3%95%EF%BC%88%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%89%5D%EF%BC%881%EF%BC%89a%26%23178%3B-3a%2Bb%26%23178%3B-3b%2B2ab-54%EF%BC%882%EF%BC%89x%26%23178%3B%2B8xy%2B16y%26%23178%3B%2B3x%2B12y%2B2%EF%BC%883%EF%BC%894-a%26%23178%3B%2B4ab-4b%26%23178%3B%EF%BC%884%EF%BC%89x%26%23178%3B%2B4y-1-4y%26%23178%3B)
[分组分解法(分解因式)](1)a²-3a+b²-3b+2ab-54(2)x²+8xy+16y²+3x+12y+2(3)4-a²+4ab-4b²(4)x²+4y-1-4y²
[分组分解法(分解因式)]
(1)a²-3a+b²-3b+2ab-54(2)x²+8xy+16y²+3x+12y+2
(3)4-a²+4ab-4b²(4)x²+4y-1-4y²
[分组分解法(分解因式)](1)a²-3a+b²-3b+2ab-54(2)x²+8xy+16y²+3x+12y+2(3)4-a²+4ab-4b²(4)x²+4y-1-4y²
(1)a²-3a+b²-3b+2ab-54
=(a²+2ab+b²)+(-3a-3b)-54
=(a+b)²-3(a+b)-54
=(a+b+6)(a+b-9)
(2)x²+8xy+16y²+3x+12y+2
=(x²+8xy+16y²)+(3x+12y)+2
=(x+4y)²+3(x+4y)+2
=(x+4y+1)(x+4y+2)
(3)4-a²+4ab-4b²
=4-(a²-4ab+4b²)
=2²-(a-2b)²
=(2-a+2b)(2+a-2b)
(4)x²+4y-1-4y²
=x²-(-4y+1+4y²)
=x²-(1-2y)²
=(x-1+2y)(x+1-2y)