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(x+y)²+2(y-x)因式分解怎么弄我这还有几道题(x+y)²-(x+y)(x-z)+(x+y)(y+z)X(X-a)(x-b)-y(a-x)(b-x)x(x+y)(x-y)-x(x+y)²(2a+b)(2a-3b)-3b(2a+b)(a+b)²-9(a-b)²(a²+b²)²-a²b²9(x-y)-y&

题目详情
(x+y)²+2(y-x) 因式分解 怎么弄 我这还有几道题
(x+y)²-(x+y)(x-z)+(x+y)(y+z)
X(X-a)(x-b)-y(a-x)(b-x)
x(x+y)(x-y)-x(x+y)²
(2a+b)(2a-3b)-3b(2a+b)
(a+b)²-9(a-b)²
(a²+b²)²-a²b²
9(x-y)-y²
▼优质解答
答案和解析
(x+y)²+2(y-x)无法有理分解,硬要分解只能这么分了:
(x+y)²+2(y-x)=(x+y)²-2(x-y)=(x+y-√2√(x-y))(x+y+√2√(x-y))
(x+y)²-(x+y)(x-z)+(x+y)(y+z)
本题题目是这样的吧:
(x-y)²+2(y-x)=(y-x)²+2(y-x)=(y-x)(y-x+2)
或 (x+y)²+2(y+x)=(x+y)(x+y+2)
=(x+y)(x+y-(x-z)+y+z)=(x+y)(2y+2z)=2(x+y)²
x(x-a)(x-b)-y(a-x)(b-x)
=x(x-a)(x-b)-y(x-a)(x-b)
=(x-a)(x-b)(x-y)
x(x+y)(x-y)-x(x+y)²
=(x+y)(x(x-y)-x(x+y))=(x+y)(x²-xy-x²-xy)=(x+y)(-2xy)=-2xy(x+y)
(2a+b)(2a-3b)-3b(2a+b)
=(2a+b)(2a-3b-3b)=(2a+b)(2a-6b)=2(2a+b)(a-3b)
(a+b)²-9(a-b)²
=(a+b+3(a-b))(a+b-3(a-b))=(a+b+3a-3b)(a+b-3a+3b)=(4a-2b)(4b-2a)=4(2a-b)(2b-a)
(a²+b²)²-a²b²
=(a²+b²-ab)(a²+b²+ab)
9(x-y)-y² 无法有理分解,或
=(3√(x-y) - y)(3√(x-y) + y)
本题题目是这样的吧:
9(x-y)²-y²
=(3(x-y)-y)(3x-3y+y)=(3x-4y)(3x-2y)