分解因式(y-x)(a-b c)-搜答案-智慧作业帮

(x+2y)²+x+2y=(x+2y)²+(x+2y）=(x+2y)(x+2y+1)把多项式a²（x-a）+a（a-x）分解因式,结果是（C）A、（x-a）（a²

(a-b)(x-y)-2(a-b)(x+y)(a-b)(x-y-2x-2y)(a-b)(-x-3y)

a(x^2+2xy+y^2)-b(x^2-y^2)=a(x+y)^2-b(x+y)(x-y)=(x+y)[a(x+y)-b(x-y)]=(x+y)(ax+ay-bx+by)

a(y-x)-2b(x-y)=a(y-x)+2b(y-x)=(y-x)(a+2b)

原式=a(x+y)²-b(x+y)(x-y)=(x+y)[a(x+y)-b(x-y)]=(x+y)(ax+ay-bx+by)

一：a(x-y)-x+y=a(x-y)-(x-y)=(a-1)(x-y)二：1.22²×3²-1.33²×4=（1.22×3）²-（1.33x2）²=

原式=8a（x-y)²+4b(x-y)=4（x-y）［2a（x-y)+b］=4（x-y）(2ax-2ay+b)

解题思路：提取公因式4（x-y），可解。解题过程：解：8a(x-y)2_4b(y-x)=8a(x-y)²+4b(x-y)=4（x-y）[2a（x-y）+b]=4(x-y)(2ax-2ay+b);

=[2（a-b)]^2-(x-y)^2=(2a-2b+x-y)（2a-2b-x+y)

5a^2(x-y)+10a(y-x)=5a^2(x-y)-10a(x-y)=5a(x-y)(a-2)

10a(x-y)^2-5a(y-x)^3=10a(x-y)^2+5a(x-y)^3=5a(x-y)^2*[2+(x-y)]=5a(x-y+2)(x-y)^2

a²(2x-y)+b²(y-2x)=a²(2x-y)-b²(2x-y)=(a²-b²)(2x-y)=(a-b)(a+b)(2x-y)看一下,

(x-y)的3次方-2a(y-x)的平方=(x-y)的3次方-2a(x-y)的平方=(x-y)的平方*(x-y-2a)再问：只能分解到这了吗

x^2-xy+y^2 分解因式

你的式子是无法分解的,已经是最简代数式了x^2-xy+y^2=（x-y/2）^2+3y^2/4恒大于0,无法分解

分解为ax+ay+bx+by-ax+ay-bx+by=ay+by+ay+by=2ay+2by=2y(a+b)

-3a^2(x-2y)^3+12a(2y-x)^4=-3a^2(x-2y)^3+12a(x-2y)^4=3a(x-2y)^3{4(x-2y)-3a}=3a(x-2y)(4x-8y-3a)

5a²（x-y）+10a（y-x）=（x-y）（5a²-10a）=5a（x-y）（a-2）

:a(3x+9y)-x-3y=3a(x+3y)-(x+3y)=(3a-1))(x+3y)

x(a-x)(a-y)-y(x-a)(y-a)=x(a-x)(a-y)-y(a-x)(a-y)后面得到(a-x)(a-y)是将(x-a)(-1)(y-a)(-1)=(x-y)(a-x)(a-y)望采纳

原式=5a²b(x-y)³-30ab²(x-y)²=5ab[a(x-y)²-6b]=5ab(ax-ay-6b)