x^6-y^6
=(x^3)^2-(y^3)^2
=(x^3 +y^3)(x^3 - y^3)
=(x+y)(x^2 - xy + y^2)(x - y)(x^2 + xy + y^2)
解法2：
x^6-y^6
=(x^2-y^2)(x^4+y^4+x^2y^2)
=(x+y)(x-y)(x^4 + y^4 + 2x^2y^2 - x^2y^2)
=(x+y)(x-y)[(x^2+y^2)^2 - (xy)^2]
=(x+y)(x-y)(x^2 + xy + y^2)(x^2 - xy + y^2)
解法3：
因式定理法
当x=y时，原式为0；
当x=-y时，原式为0；
所以x^6-y^6中有因式(x-y)(x+y),用多项式除法得到
x^6-y^6 = (x+y)(x-y)(x^4+y^4+x^2y^2)
=(x+y)(x-y)(x^4 + y^4 + 2x^2y^2 - x^2y^2)
=(x+y)(x-y)[(x^2+y^2)^2 - (xy)^2]
=(x+y)(x-y)(x^2 + xy + y^2)(x^2 - xy + y^2)。
希望我的方法能帮助到你，呵呵~
=(x^2-y^2)(x^4-y^4+x^2y^2)
=(x+y)(x-y)[(x^2+y^2)(x+y)(x-y)+x^2y^2]
=x^2y^2(x+y)^2(x-y)^2本回答被网友采纳
x的六次方减y的六次方等于多少?
x^6-y^6 =(x^3)^2-(y^3)^2 =(x^3 +y^3)(x^3 - y^3)=(x+y)(x^2 - xy + y^2)(x - y)(x^2 + xy + y^2)解法2：x^6-y^6 =(x^2-y^2)(x^4+y^4+x^2y^2)=(x+y)(x-y)(x^4 + y^4 + 2x^2y^2 - x^2y^2)=(x+y)(x-y)[(x^2+y^2)...
x的六次方-y的六次方的解题过程
x^6-y^6 =(x³)²－(y³)²=(x³+y³)(x³-y³)=(x+y)(x²-xy+y²)(x-y)(x²+xy+y²)
分解:x的六次方减y的六次方;3乘x的平方加8x减3;3乘a的四次方乘x的二...
x^6-y^6 =(x³-y³)(x³+y³)=(x-y)(x+y)(x²-xy+y²)(x²+xy+y²)3x²+8x-3 =(3x-1)(x+3)3a^4x²-39a²x²+108x²=3x²(a^4-13a²+36)=3x²(a²-4)(a²-9...
x的六次方-y的六次方+x的四次方+x的平方y的平方+y的四次方 因式分解...
解：x^6-y^6+x^4+x^y^2+y^4 =(x^3+y^3)(x^3-y^3)+(x^4+x^y^2+y^4)=(x+y)(x^2+y^2-xy)(x-y)(x^2+y^2+xy)+(x^4+x^y^2+y^4)=(x^2-y^2)(x^2+y^2-xy)(x^2+y^2+xy)+(x^4+x^y^2+y^4)=(x^2-y^2)[(x^+y^2)^2-x^2y^2]+(x...
急求 因式分解64x的六次方减y的六次方答案,,过程!!
64x^6-y^6 =(8x³﹚²-﹙y³﹚²=(8x³+y³)(8x³-y³)=(2x+y)(4x²-2xy+y²)(2x-y)(4x²+2xy+y²)
X的六次方-Y的六次方-2乘X的三次方+1(因式分解)
原式=(x³-1)²-y^6 =(x³+y³-1)(x³-y³-1)
(x的平方-y的平方)(x²+xy+y²)(x²-xy+y²)
x-y）（x+y）（x²+xy+y²）（x²-xy+y²）=[（x-y）（x²+xy+y²）]*（x+y）（x²-xy+y²）]=（x＾3-y＾3）（x＾3+y＾3）=x＾6-y＾6 【数学辅导团】为您解答，不理解请追问，理解请及时选为满意回答！(*^__^*)谢谢！
x七次方减xy的六次方用公式法
=x·(x的六次方-y的六次方)=x·(x的3次方-y的3次方)·(x的3次方+y的3次方)=x(x-y)(x平方+xy+y平方)(x+y)(x平方-xy+y平方)
已知(x+y)的平方等于7,(x-y)的平方等于3,求x的6次方+y的6次方等于...
将题目中x的六次方看成(x²)的三次方，y的六次方看成(y²)的三次方.已知(x+y)²=7，(x-y)²=3,则x²+2xy+y²=7 (1)x²-2xy+y²=3 (2)(1)+(2)得出x²+y²=5 (1)-(2)得出xy=1 x的6次方+y的6次方=(x&#...
