幾條因式分解數

2007-10-07 6:29 am
A^2B(H^2-K^3)+AB^2(K^3-H^2)
25a^2-10a+1-16b^2+24b-9
2x(a-3b)-y(3b-a)+4x(a+3b)+2y(3b+a)
請用因式分解 解答

回答 (2)

2007-10-07 6:51 am
2. 25a^2-10a+1-16b^2+24b-9
=(25a^2-10a+1)+(16b^2-24b+9)
=(5a-1)^2+(4b-3)^2
3. 2x(a-3b)-y(3b-a)+4x(a+3b)+2y(3b+a)
=2ax-6bx-3by+ay+4ax+12bx+6by+2ay
=2ax+4ax-6bx+12bx-3by+6by+ay+2ay
=6ax+6bx+3by+3ay
=6x(a+b)+3y(b+a)
=(6x+3y)(a+b)
=3(2x+y)(a+b)
1. 計緊=00=

2007-10-06 22:53:26 補充:
1. A^2B(H^2-K^3)+AB^2(K^3-H^2) =A^2B(H^2-K^3)-AB^2(H^2-K^3) =AB(H^2-K^3)(A-B)遲左計完..因為自己計錯左..=口=""
2007-10-07 6:47 am
A^2B(H^2-K^3)+AB^2(K^3-H^2)
=A^2B(H^2-K^3)-AB^2(H^2-K^3)
=AB(H^2-K^3)(A-B)

25a^2-10a+1-16b^2+24b-9
=(5a-1)^2-(4b-3)^2
={(5a-1)-(4b-3)}{(5a-1)+(4b-3)}
=(5a-4b+2)(5a-4b-4)

2x(a-3b)-y(3b-a)+4x(a+3b)+2y(3b+a)
=2x(a-3b)+y(a-3b)+4x(a+3b)+2y(a+3b)
=(a-3b)(2x+y)+2(a+3b)(2x+y)
=(2x+y){(a-3b)+2a-6b}
=(2x+y)(3a-9b)
=3(2x+y)(a-3b)


收錄日期: 2021-04-21 13:47:57
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