數學問題05!!急急急!!!有20點 @ zogfly3的部落格

標題:

數學問題05!!急急急!!!有20點

發問:

(B) 恆等式把下列各多項式分解為因式 (1) x^2-16 (2) 81-y^2 (3) 1-36a^2 (4) 49a^2-64 (5) 25m^2-9n^2 (6) 4h^2-121h^2 (7) x^4y^2-36 (8) -p^2q^2+v^4 (9) 49a^2-169b^2c^2 (10) -100s^2+81t^2 (11) 16-h^4 (12) 8L^2-32 (13) 6-54u^2

最佳解答:

(1) x^2-16=(x+4)(x-4) (2) 81-y^2 =(9+y)(9-y) (3) 1-36a^2 =(1+6a)(1-6a) (4) 49a^2-64 =(7a+8)(7a-8) (5) 25m^2-9n^2 =(5m+3n)(5m-3n) (6) 4h^2-121h^2....題目有錯否? =-117h^2 (7) x^4y^2-36 =(x^2y+6)(x^2y-6) (8) -p^2q^2+v^4 =v^4-p^2q^2 =(v^2+pq)(v^2-pq) (9) 49a^2-169b^2c^2 =(7a+13bc)(7a-13bc) (10) -100s^2+81t^2 =81t^2-100s^2 =(9t+10s)(9t-10s) (11) 16-h^4 =(4+h^2)(4-h^2) =(4+h^2)(2+h)(2-h) (12) 8L^2-32 =8(L^2-4) =8(L+2)(L-2) (13) 6-54u^2 =6(1-9u^2) =6(1+3u)(1+3u)

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其他解答:

1. (x+4)(x-4) 2. (9+y)(9-y) 3. (1+6a)(1-6a) 4. (7a+8)(7a-8) 5. (5m+3n)(5m-3n) 6. (2h+11h)(2h-11h) 10. (9t-10s)(9t+10s) 11. (4+h^2)(4-h^2) 12. 8L^2-32 =8(L^2-4) =8(L+2)(L-2) 13. 6-54u^2 =6(1-9u^2) =6(1+3u)(1-3u) 2009-12-23 16:35:17 補充： (7) x^4y^2-36= (x^2y+6)(x^2y-6) (8) -p^2q^2+v^4 = v^4-p^2q^2 (調一調個位會易d睇) =(v^2-p^q)(v^2+p^q) (9) 49a^2-169b^2c^2 = (7a+13b^c)(7a-13b^c) 2009-12-23 16:35:54 補充：我諗我應該冇睇錯d數掛,,因為好難睇-_-''