分解因式各种题目.-18x²(a-b)-12y²(b-a)9(x+y)²-4(x-y)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/11 12:45:16
分解因式各种题目.
-18x²(a-b)-12y²(b-a)
9(x+y)²-4(x-y)²
(a²+b²)²-4a²b²
-2m²+36mn-162n²
(a²+b²)²-4a²b²
-18x²(a-b)-12y²(b-a)
9(x+y)²-4(x-y)²
(a²+b²)²-4a²b²
-2m²+36mn-162n²
(a²+b²)²-4a²b²
![分解因式各种题目.-18x²(a-b)-12y²(b-a)9(x+y)²-4(x-y)](/uploads/image/z/19284772-4-2.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E5%90%84%E7%A7%8D%E9%A2%98%E7%9B%AE.-18x%26%23178%3B%EF%BC%88a-b%EF%BC%89-12y%26%23178%3B%EF%BC%88b-a%EF%BC%899%EF%BC%88x%2By%29%26%23178%3B-4%EF%BC%88x-y%EF%BC%89%26%23)
-18x²(a-b)-12y²(b-a)
= 12y²(a-b)-18x²(a-b)
=6(a-b)(2y²-3x²)
=6(a-b)(√2y+√3x)(√2y-√3x)
9(x+y)²-4(x-y)²
=[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(5x+y)(x+5y)
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
-2m²+36mn-162n²
=-2(m²-18mn+81)
=-2(m-9)²
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
= 12y²(a-b)-18x²(a-b)
=6(a-b)(2y²-3x²)
=6(a-b)(√2y+√3x)(√2y-√3x)
9(x+y)²-4(x-y)²
=[3(x+y)+2(x-y)][3(x+y)-2(x-y)]
=(5x+y)(x+5y)
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
-2m²+36mn-162n²
=-2(m²-18mn+81)
=-2(m-9)²
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
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