这是个公式
(x+y)(x^2-xy+y^2)=x^3+y^3
(x+y)((x+y)^2-3xy)
计算:(X+Y)(X^2-XY+Y^2)
(X+Y)(X^2-XY+Y^2)=(x*x^2-x*xy+x*y^2)+(x^2y-xy^2+y^3)=x^3+y^3 这个是立方和的公式,再给你一个 x^3-y^3=(X-Y)(X^2+XY+Y^2)这是立方差的公式
(x+y)(x^2-xy+y^2) 计算
原式等于：x³-y³这个是立方差公式
推导公式:(x+y)(x^2-xy+y^2)=x^3+y^3
左侧展开：(x+y) (x^2-xy+y^2) = x(x^2-xy+y^2) + y(x^2-xy+y^2)= x^3 -x^2y + xy^2 + x^2y - xy^2 + y^3 = x^3 -x^2y + x^2y + xy^2 - xy^2 + y^3 = x^3 + 0 + 0 + y^3 = x^3 + y^3 ...
(x+y)(x^2-xy+y^2)
x^3+y^3=(x+y)(x^2-xy+y^2)这是个公式
(x+y)(x^2-xy+y^2)要因式分解全过程!可追加分!
原式=x^3-y*x^2+x*y^2+y*x^2-x*y^2+y^3=x^3+y^3 望采纳。。。
(x+y)(x2-xy+y2)
解：原式=(x+y)[(x-y)²+xy]=(x²-y²)(x-y)+x²y+xy²=x³-x²y-xy²+y³+x²y+xy²（-x²y-xy²+x²y+xy²抵消掉）=x³+y³希望对你有帮助哦~祝学习进步哦~\\(^o^)\/ ...
(x+y)(x的平方-xy+y的平方) 等于多少
（x+y)(x的平方-xy+y的平方)=x^3+y^3
因式分解 (x+y)(x^2-xy-y^2)
(x+y)(x^2-xy-y^2)=(x+y)[(x^2-xy+y^2)-2y^2]=(x+y)(x^2-xy+y^2)-(x+y)*2y^2 =x^3+y^3-2xy^2-2y^3 =x^3-2xy^2-y^3
(x+y)(x^2-2xy+y^2)
(x+y)(x^2-2xy+y^2)=x³－2x²y＋xy²＋x²y－2xy²＋y³=x³－x²y－xy²＋y³
急求解 (x+y)(x^2-xy+y^2)-xy(x+y)
求值： (x+y)(x^2-xy+y^2)-xy(x+y)=x^3-+y^3-x^2y-xy^2 分解因式(x+y)(x^2-xy+y^2)-xy(x+y)=（x+y）（x-y）^2
