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標題:

Maths factorize Question (F.2)

發問:

(With steps) 1. m^2-3mr-3pr+mp 2. 6p^2+6-4p-9p 3. 3p-q-6pq+2q^2 4. cd^2-c^2d-c+d 5. mx-nx+my-ny+mz-nz 6. pa+qa-ra+rb-qb-pb

最佳解答:

1. m^2-3mr-3pr+mp Sol m^2-3mr-3pr+mp =m(m-3r)+p(m-3r) =(m+p)(m-3r) 2. 6p^2+6-4p-9p Sol 6p^2+6-4p-9p =6p^2-13p+6 =(3p-2)(2p-3) 3. 3p-q-6pq+2q^2 Sol 3p-q-6pq+2q^2 =(3p-q)-2q(3p-q) =(1-2q)(3p-q) 4. cd^2-c^2d-c+d Sol cd^2-c^2d-c+d =cd(d-c)+(-c+d) =(cd+1)(d-c) 5. mx-nx+my-ny+mz-nz Sol mx-nx+my-ny+mz-nz =x(m-n)+y(m-n)+z(m-n) =(y+y+z)(m-n) 6. pa+qa-ra+rb-qb-pb Sol pa+qa-ra+rb-qb-pb =a( p+q-r)-b(-r+q+p) =(a-b)(p+q-r)

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Question 1 = m ( m - 3 r) + p ( m - 3 r ) = ( m - 3 r ) ( m + p ) Question 3 = (3 p - q ) - 2q ( 3p - q ) = (3p - q) (1 - 2q) Question 5 = x ( m - n ) + y (m - n ) + z ( m - n ) = ( m - n ) (x + y +z) 如果仲有咩數學問題 可以上 http://forum.laspot.net/ 果度有數學老師 會即日回覆你 希望幫到你 ~
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