maths-factorize

2008-07-31 10:23 pm
已知2x*3-16=2(x-2)(x*2+2x+4)
hence,factorize 2x*3-13x*2+36

回答 (1)

2008-07-31 11:10 pm
✔ 最佳答案
2x*3-13x*2+36 = (2x^3-16) -(13x^2-52)

= 2(x-2)(x^2+2x+4) - 13(x^2 -4)

= 2(x-2)(x^2+2x+4) - 13(x+2)(x-2)

= (x-2)( 2x^2+4x+8 -13x -26)

= (x-2)(2x^2-9x -18)

2008-07-31 15:11:17 補充:
a^2 - b^2 = (a+b)(a-b)


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