因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊

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因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊因式分解x(x-1)+y(y+1)-2xy-72初一数学

因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊
因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊

因式分解x(x-1)+y(y+1)-2xy-72初一数学仅此一题谢谢快啊
=x^2-x+y^2+y-2xy-72
=(x^2-2xy+y^2)-(x-y)-72
=(x-y)^2-(x-y)-72
=(x-y-9)(x-y+8)

x(x-1)+y(y+1)-2xy-72=x^2-x+y^2+y-2xy-72=(x^2-2xy+y^2)-(x-y)-72=(x-y)^2-(x-y)-72=(x-y-9)(x-y+8)
别忘了采纳哦!!

x(x-1) y(y 1)-2xy-72
x²-x y² y-2xy-72
(x²-2xy y²)-(x-y)-72
(x-y)²-(x-y)-72
=t²-t-72
1. -9
1.8
=(t-9)(t 8)
=(x-y-9)(x-y 8)