【分解因式】x²-9 x²-1 m²-n²【分解因式】x²-9x²-1m²-n²4a³-a98-2x²-4x²+25y²49(x-y)²-9(y+x)²

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 04:25:50
【分解因式】x²-9 x²-1 m²-n²【分解因式】x²-9x²-1m²-n²4a³-a98-2x²-4x²+25y²49(x-y)²-9(y+x)²

【分解因式】x²-9 x²-1 m²-n²【分解因式】x²-9x²-1m²-n²4a³-a98-2x²-4x²+25y²49(x-y)²-9(y+x)²
【分解因式】x²-9 x²-1 m²-n²
【分解因式】
x²-9
x²-1
m²-n²
4a³-a
98-2x²
-4x²+25y²
49(x-y)²-9(y+x)²

【分解因式】x²-9 x²-1 m²-n²【分解因式】x²-9x²-1m²-n²4a³-a98-2x²-4x²+25y²49(x-y)²-9(y+x)²
x²-9=(x+3)(x-3)
x²-1=(x+1)(x-1)
m²-n²=(m+n)(m-n)
4a³-a=a(4a-1)=a(2a+1)(2a-1)
98-2x²=-2(x²-49)=-2(x+7)(x-7)
-4x²+25y²=(5y+2x)(5y-2x)
49(x-y)²-9(y+x)²
=[7(x-y)]²-[3(x+y)]²
=[7(x-y)+3(x+y)][7(x-y)-3(x+y)]
=(10x-4y)(4x-10y)
=4(5x-2y)(2x-5y)

x²-9=(x+3)(x-3)
x²-1=(x+1)(x-1)
m²-n²=(m+n)(m-n)
4a³-a=a(4a²-1)=a(2a+1)(2a-1)
98-2x²=2(49-x²)=2(7+x)(7-x)
-4x²+25y²=(5y+2x)(5y-2x)...

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x²-9=(x+3)(x-3)
x²-1=(x+1)(x-1)
m²-n²=(m+n)(m-n)
4a³-a=a(4a²-1)=a(2a+1)(2a-1)
98-2x²=2(49-x²)=2(7+x)(7-x)
-4x²+25y²=(5y+2x)(5y-2x)
49(x-y)²-9(y+x)²=[7(x-y)+3(x+y)][7(x-y)-3(x+y)]=(10x-4y)(4x-10y)=4(5x-2y)(2x-5y)

满意请采纳,O(∩_∩)O谢谢~

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x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

m²-n²=(m+n)(m-n)

4a³-a=a(a+1)(a-1)

98-2x²=2(49-x²)=2(7+x)(7-x)

-4x²+25y²=...

全部展开

x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

m²-n²=(m+n)(m-n)

4a³-a=a(a+1)(a-1)

98-2x²=2(49-x²)=2(7+x)(7-x)

-4x²+25y²=(5y+2x)(5y-2x)

49(x-y)²-9(y+x)
=[7(x-y)+3(x+y)][7(x-y)-3(x+y)]
=(10x-4y)(4x-10y)
=4(5x-2y)(2x-5y)

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x²-9
=(x-3)(x+3)
x²-1
=(x+1)(x-1)
m²-n²
=(m+n)(m-n)
4a³-a
=a(4a²-1)
=a(2a+1)(2a-1)
a²98-2x²
=2(49a²-x²)
=2...

全部展开

x²-9
=(x-3)(x+3)
x²-1
=(x+1)(x-1)
m²-n²
=(m+n)(m-n)
4a³-a
=a(4a²-1)
=a(2a+1)(2a-1)
a²98-2x²
=2(49a²-x²)
=2(7a+x)(7a-x)
=(14a=7x)(7a-x)
-4x²+25y²
=25y²-4x²
=(5y+2x)(5y-2x)
49(x-y)²-9(y+x)²
=[7(x-y)+3(x+x)][7(x-y)-3(x+y)]
=(10x-4y)(4x-10y)
=4(5x-2y)(2x-5y)

收起