x四次方-2x方 x方y-y 1 因式分解-搜答案-智慧作业帮

^表示乘方原式=5(x+y)³-2(x-y)^4-2(x+y)³+(y-x)^4=[5(x+y)³-2(x+y)³]+[-2(x-y)^4+(x-y)^4]=3

2x²y²-x的4次方-y的4次方=-(x的4次方-2x²y²+y的4次方)=-[(x²)²-2x²y²+(y²

先把X四次方-2Y四次方-3XY二次方+X二次方Y+2XY二次方+3Y四次方合并同类项,也就是X四次方+Y四次方-XY二次方+X二次方Y,提取负号变成（X四次方+Y四次方）-（XY二次方-X二次方Y）

2x^2y^4-8x^4y^6=2x^2y^4(1-4x^2y^2)=2x^2y^4[1^2-(2xy)^2]=2x^2y^4(1+2xy)(1-2xy)

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原式=x²×(-x³)+2x×(x的4次方)+x×x的4次方=-x的5次方+2x的5次方+x的5次方=2x的5次方很高兴为您解答,祝你学习进步!【学习宝典】团队为您答题.有不明白的

原式＝(x-y)^4(x-y)(x-y)^3=(x-y)^4(x-y)^4=2(x-y)^4

题目是不是这样：在实数范围内因式分解(x四次方+y四次方)-4x二次方y二次方=?x^4+y^4-4x^2*y^2=(x^2+y^2)^2-2x^2*y^2-4x^2*y^2=(x^2+y^2)^2-

x四次方y四次方-2x²y²-3x四次方y四次方=-2x四次方y四次方-2x²y²=-2x²y²(2x²y²+1)

x的四次方-3x的平方y的平方+2y的四次方=(x²)²-3x²y²+2(y²)²=(x²-y²)(x²-2y

没写完,补充,向我追问再问：当x的二次方+4y的二次方-4x+4y+5=0时2x的二次方+xy-y的二次方分之x的四次方-y的四次方乘以xy-y二次方分之2x-y乘以（x二次方+y二次方）的平方分之y

x的四次方+x²y²-2y的四次方=(x²+2y²)(x²-y²)=(x+y)(x-y)(x²+2y²);很高兴为您解答

x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)

(x-y)(x+y)(x²-y²)=x的4次方-2x²y²+y的4次方很高兴为您解答,祝你学习进步!【学习宝典】团队为您答题.有不明白的可以追问!如果您认可我的

x四次方-y四次方/x平方-2xy+y平方=(x²+y²)(x+y)(x-y)/(x-y)²=(x²+y²)(x+y)/(x-y)

原式=(x+y)(x-y)(x^2+y^2)(x^4+y^4)=(x^2-y^2)(x^2+y^2)(x^4+y^4)=(x^4-y^4)(x^4+y^4)=x^8-y^8

令a=2x-y,b=2y-x,a+b=(2x-y)+(2y-x)=x+y(2x-y)四次方+(x+y)四次方+(2y-x)四次方=a四次方+(a+b)四次方+b四次方=(a+b)四次方+(a四次方+2

x²+2xy+y²+x⁴-y⁴=(x+y)²+(x²+y²)(x²-y²)=(x+y)²+(x&

=(x的4次方+y的4次方+2x²y²)(x的4次方+y的4次方-2x²y²)=(x²+y²)²(x²-y²)

原式=(x-y)²[a²-2a(x-y)+(x-y)²]=(x-y)²[a-(x-y)]²=(x-y)²(2a-x+y)²