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Factorisation

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請Factorise 50-8(a+1.5)^2 [最好附註解釋]

最佳解答:

因為有小數...我覺得中間打出黎有少少亂= = 所以我設 b = 1.5 50-8(a+b)2 =50-8(a2+2ab+b2)<- (a±b)2=a2±2ab+b2 =50-8a2-16ab-8b2 代回b=1.5 =50-8a2-16a(1.5)-8(1.5)2 =50-8a2-24a-18 =-8a2-24a+32 =8(-a2-3a+4) -a 1 \/ /\ a4 ____________ 1a+(-4a)=-3a 所以,8(-a2-3a+4) =8(-a+1)(a+4)

其他解答:

50-8(a^2+2.25) =50-8a^2-18 =32-8a^2 =8(4-a^2) 2008-07-29 12:03:45 補充: =8(2^2-a^2) =8(2-a)(2+a) 2008-07-29 12:10:08 補充: 解釋 1) =32-8a^2---------------(take the common factor=8) =8(4-a^2) 2) =(4-a^2)-------------(identity) =(2-a)(2+a) 2008-07-29 12:11:26 補充: =8*2(-a)(a) =16*-a^2 =-16a^2 2008-07-29 12:14:10 補充: I hope I can help you because my maths is 8/205

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