標題:
F.2 factorization!!!
發問:
1. 2-18(a+1)^2 2. 9p^2-q^2-12p-4q 3. 18a^2+15b-50b^2-9a
最佳解答:
此文章來自奇摩知識+如有不便請留言告知
1. 2-18(a+1)^2 =2[1-9(a+1)^2] =2{1-[3(a+1)^2]} =2[1+3(a+1)][1-3(a+1)] =2(4+3a)(-2-3a) =-2(3a+4)(3a+2) 2. 9p^2-q^2-12p-4q =(3p)^2-q^2-4(3p+q) =(3p+q)(3p-q)-4(3p+q) =(3p+q)[(3p-q)-4] =(3p-q)(3p-q-4) 3. 18a^2+15b-50b^2-9a =18a^2-50b^2+15b-9a =2(9a^2-25b^2)-3(3a-5b) =2[(3a)^2-(5b)^2]-3(3a-5b) =2(3a+5b)(3a-5b)-3(3a-5b) =(3a-5b)[2(3a+5b)-3] =(3a-5b)(6a+10b-3)
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