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因式分解---

發問:

_____ ./303^2-297^2(平方根) 1.726^2-1.724^2 81u^4-16v^4 (e+f)^2+8(e+f)+16 m^2-n^2+8n-16 p^2-6pq+9q^2-r^2+4rs-4s^2 y^6-1 因式分解: p^2-6pq+9q^2 a^2-3a-4 由此分解x^2-6xy+9y^2-3(x-3y)-4 可唔可以快的,江湖救急啊!! 唔該曬

最佳解答:

./303^2-297^2 =./(303-297)(303+297) =./6(600) =./3600 =60 -------------------------------------------------- 1.726^2-1.724^2 =(1.726-1.724)(1.726+1.724) =0.002(3.45) =0.0079 81u^4-16v^4 =(9u^2-4v^2)(9u^2+4v^2) =(3u-2v)(3u+2v)(9u^2+4v^2) (e+f)^2+8(e+f)+16 =(e+f)^2+2(4)(e+f)+(4)^2 =(e+f+4)^2 m^2-n^2+8n-16 =m^2-(n^2-8n+16) =m^2-(n-4)^2 =(m-n+4)(m+n-4) p^2-6pq+9q^2-r^2+4rs-4s^2 =[p^2-2p(3q)+(3q)^2] - [r^2-2r(2s)+(2s)^2] =(p-3q)^2 - (r-2s)^2 =(p-3q-r+2s)(p-3q+r-2s) y^6-1 =(y^3-1)(y^3+1) =(y-1)(y^2+y+1)(y+1)(y^2-y+1) =(y-1)(y+1)(y^2-y+1)(y^2+y+1) -------------------------------------------------- p^2-6pq+9q^2 =p^2-2p(3q)+(3q)^2 =(p-3q)^2 a^2-3a-4 =(a-4)(a+1) x^2-6xy+9y^2-3(x-3y)-4 =(x-3y)^2-3(x-3y)-4 =(x-3y-4)(x-3y+1)

其他解答:7638E748EED250B0