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[F.3數]Factorization(40分有答案求步驟)

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• 數學一問（5點）@1@
• 超急急急急急急急急急急急(2230前) F.4一元二次方程2
• F3 Maths -- Need Steps (1)

• 數學一問（5點）@1@
• 超急急急急急急急急急急急(2230前) F.4一元二次方程2
• F3 Maths -- Need Steps (1)

 

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Factorize the following expressions.(Example)2m(3m-8n)-9n(m+n)=6m^2-25mn-9n^2=(3m+n)(2m-9n)(Graph Paper)３ｍ｜＋ｎ２ｍ｜－９ｎ－－－－－－－(2mn)+(-27mn)=-25mn--------------------------------------------------------------(1) 37hk+10(1+3h^2 k^2)(2) u^2+4uv+3v^2-7u-21v(3)... 顯示更多 Factorize the following expressions. (Example) 2m(3m-8n)-9n(m+n) =6m^2-25mn-9n^2 =(3m+n)(2m-9n) (Graph Paper) ３ｍ｜＋ｎ ２ｍ｜－９ｎ －－－－－－－ (2mn)+(-27mn)=-25mn -------------------------------------------------------------- (1) 37hk+10(1+3h^2 k^2) (2) u^2+4uv+3v^2-7u-21v (3) 15(c+2)^2+11(c+2)(d-3)-4(d-3)^2 Answer: (1) (5+6hk)(2+5hk) (2) (u+3v)(u+v-7) (3) (15c-4d+42)(c+d-1) 更新: thank you very much!!!!

最佳解答:

1)37hk+10(1+3h^2 k^2)= 30(hk)^2 + 37hk + 10= (5+6hk)(2+5hk) (Graph Paper)6hk.....|.....55hk.....|.....2 ___________________(6hk)2 + (5hk)5 = 37hk (2) u^2+4uv+3v^2-7u-21v= u^2 + (4v - 7)u + 3v(v - 7)= (u + 3v)(u + v - 7) (Graph Paper)u...........| .... 3vu...........|.....(v - 7) ____________________ u(v - 7) + 3vu = (4v - 7)u (3) 15(c+2)^2+11(c+2)(d-3)-4(d-3)^2= [15(c+2) - 4(d-3)] [(c+2) + (d-3)]= (15c + 30 - 4d + 12) (c + d - 1)= (15c - 4d + 42) (c + d - 1) (Graph Paper)15(c+2).....| -4(d-3)(c+2)....... | (d-3) ____________________________________15(c+2)(d-3) + (-4)(d-3)(c+2) = 11(c+2)(d-3)

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