Factorisation

2008-07-29 5:35 pm
請Factorise 50-8(a+1.5)^2
[最好附註解釋]

回答 (2)

2008-07-29 8:03 pm
✔ 最佳答案
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
 \/
 /\
a   4
____________
1a+(-4a)=-3a

所以,8(-a²-3a+4)
=8(-a+1)(a+4)
參考: 自己
2008-07-29 8:02 pm
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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