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標題:
數學上的問題=.=因式分解@.@
發問:
因式分解 60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 有冇人識計-.-? 唔好直接比答案-.- 步驟詳細D 更新: 博士呀博士@.@ 我既知識入面仲有2條數學題@.@ 幫我解答埋得唔得唷@0@
最佳解答:
60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 設 a = x+2y , b = x-y , 60a^2 - 38ab - 10b^2 = 2(30a^2 - 19ab - 5b^2) = 2(6a - 5b)(5a + b) = 2(6(x+2y) - 5(x-y))(5(x+2y) + x-y) = 2 (x + 17y) (6x + 9y) = 6(x + 17y)(2x + 3y)
60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 2(30(x+2y)^2-19(x+2y)(x-y)-5(x-y)^2) 2((6(x+2y)-5y)(5(x+2y)+y) 2(6x+12y-5y)(5x+10y+y) 2(6x+7y)(5x+11y) 2010-04-16 19:46:50 補充： 60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 2(30(x+2y)^2-19(x+2y)(x-y)-5(x-y)^2) 2((6(x+2y)-5(x-y))(5(x+2y)+(x-y)) 2(6x+12y-5x+5y)(5x+10y+x-y) 2(x+17y)(6x+9y) 6(x+17y)(2x+3y) 2010-04-16 19:47:09 補充： The first answer is wrong
數學上的問題=.=因式分解@.@
發問:
因式分解 60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 有冇人識計-.-? 唔好直接比答案-.- 步驟詳細D 更新: 博士呀博士@.@ 我既知識入面仲有2條數學題@.@ 幫我解答埋得唔得唷@0@
最佳解答:
60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 設 a = x+2y , b = x-y , 60a^2 - 38ab - 10b^2 = 2(30a^2 - 19ab - 5b^2) = 2(6a - 5b)(5a + b) = 2(6(x+2y) - 5(x-y))(5(x+2y) + x-y) = 2 (x + 17y) (6x + 9y) = 6(x + 17y)(2x + 3y)
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其他解答:60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 2(30(x+2y)^2-19(x+2y)(x-y)-5(x-y)^2) 2((6(x+2y)-5y)(5(x+2y)+y) 2(6x+12y-5y)(5x+10y+y) 2(6x+7y)(5x+11y) 2010-04-16 19:46:50 補充： 60(x+2y)^2 - 38(x+2y)(x-y) - 10(x-y)^2 2(30(x+2y)^2-19(x+2y)(x-y)-5(x-y)^2) 2((6(x+2y)-5(x-y))(5(x+2y)+(x-y)) 2(6x+12y-5x+5y)(5x+10y+x-y) 2(x+17y)(6x+9y) 6(x+17y)(2x+3y) 2010-04-16 19:47:09 補充： The first answer is wrong
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