寄国际快递哪家好:初二数学分解因式题目。

来源:百度文库 编辑:杭州交通信息网 时间:2024/04/29 13:12:13
分解因式:
25(x+y-4)^-9(3x-2y)^
(注释:因找不到合适的字符,此借^表示前式的2次方,请勿误解)
感激不仅不进!

25(x+y-4)^-9(3x-2y)^
=5^(x+y-4)^-3^(3x-2y)^
=[5(x+y-4)+3(3x-2y)]*[5(x+y-4)-3(3x-2y)]
=(14x-y-20)(-4x+11y-20)

25(x+y-4)^-9(3x-2y)^
=[5(x+y-4)+3(3x-2y)][5(x+y-4)-3(3x-2y)]
=(14x-y-20)(11y-4x-20)

25(x+y-4)^-9(3x-2y)^
=[5(x+y-4)+3(3x-2y)]*[5(x+y-4)-3(3x-2y)]
=[14x-y-20]*[-4x+11y-20]
=-(14x-y-20)(4x-11y+20)

25(x+y-4)^-9(3x-2y)^
=[5(x+y-4)-3(3x-2y)][5(x+y-4)+3(3x-2y]【平方差】
=(-4x+11y-20)(14x-y-20)

25(x+y-4)^-9(3x-2y)^
=[5(x+y-4)+3(3x-2y)][5(x+y-4)-3(3x-2y)]
=(14x-y-20)(11y-4x-20)

用平方差公式:[5(X+Y-4)]^-[3(3X-2Y)]^
={[5(X+Y-4)]+[3(3X+2Y)]}{[5(X+Y-4)]-[3(3X-2Y)]}
=[5X+5Y-20+9X+6Y][5X+5Y-20-9X+6Y]
=(14X+11Y-20)(-4X+11Y-20)