(1)xy(x-y)-x(x-y)²(2)-a²+1.96b²(3)-12xy+x²+36y²(4)a²-8ab+16b²

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 21:25:23
(1)xy(x-y)-x(x-y)²(2)-a²+1.96b²(3)-12xy+x²+36y²(4)a²-8ab+16b²

(1)xy(x-y)-x(x-y)²(2)-a²+1.96b²(3)-12xy+x²+36y²(4)a²-8ab+16b²
(1)xy(x-y)-x(x-y)²
(2)-a²+1.96b²
(3)-12xy+x²+36y²
(4)a²-8ab+16b²

(1)xy(x-y)-x(x-y)²(2)-a²+1.96b²(3)-12xy+x²+36y²(4)a²-8ab+16b²
1、
xy(x-y)-x(x-y)²
=x(x-y)(y-x+y)
=x(x-y)(2y-x)
2、
-a²+1.96b²
=(1.4b)²-a²
=(1.4b+a)(1.4b-a)
3、
-12xy+x²+36y²
=x²-12xy+(6y)²
=(x-6y)²
4、
a²-8ab+16b²
=a²-8ab+(4b)²
=(a-4b)²
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是因式分解吗?
(1)原式=x(x-y)(y-x+y)=x(x-y)(2y-x)
(2)原式=(1.4b-a)(1.4b+a)
(3)原式=(x-6y)²
(4)原式=(a-4b)²

(1)xy(x-y)-x(x-y)²
=x(x-y)(y-(x-y))
=x(x-y)(2y-x)
(2)-a²+1.96b²
=(1.6b+a)(1.6b-a)
(3)-12xy+x²+36y²
=(x-6y)²;
(4)a²-8ab+16b²
=(a-...

全部展开

(1)xy(x-y)-x(x-y)²
=x(x-y)(y-(x-y))
=x(x-y)(2y-x)
(2)-a²+1.96b²
=(1.6b+a)(1.6b-a)
(3)-12xy+x²+36y²
=(x-6y)²;
(4)a²-8ab+16b²
=(a-4b)²;

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具体点?求分式吗

xy(x-y)-x(x-y)² =x(x-y)[y-(x-y)] =x(x-y)(2y-x)

1、xy(x-y)-x(x-y)²
=x²y-xy²-x(x²+y²-2xy)
=x²y-xy²-x³-xy²+2x²y
=3x²y-x³-2xy²