一道数学题因式分解:-2XY-X^2-Y^2 16(m-n)^2-9(m+n)^2还有4x^2(x-y)+(y-x)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/29 09:30:17
一道数学题因式分解:-2XY-X^2-Y^216(m-n)^2-9(m+n)^2还有4x^2(x-y)+(y-x)一道数学题因式分解:-2XY-X^2-Y^216(m-n)^2-9(m+n)^2还有4

一道数学题因式分解:-2XY-X^2-Y^2 16(m-n)^2-9(m+n)^2还有4x^2(x-y)+(y-x)
一道数学题因式分解:-2XY-X^2-Y^2 16(m-n)^2-9(m+n)^2
还有4x^2(x-y)+(y-x)

一道数学题因式分解:-2XY-X^2-Y^2 16(m-n)^2-9(m+n)^2还有4x^2(x-y)+(y-x)
-2xy-x²-y²
=-(x²+2xy+y²)
=-(x+y)²
16(m-n)²-9(m+n)²
=[4(m-n)+3(m+n)]*[4(m-n)-3(m+n)]
=(7m-n)(m-7n)