標題:
Factorize (f.2) 急!!! (2日內要)
發問:
Factorize the following polynomials: (x+3y)2-(x+3y)(x+2y) Factorize the following expressions: 1) 9x3-25xy2 2) 4(x+2y)2-(x-3y)2 3) 3(4a+b)2-48(a-2b)2
最佳解答:
(x+3y)2-(x+3y)(x+2y) = (x+3y)(x+3y-x-2y) = y(x+3y) 1) 9x3-25xy2 = x(9x^2 - 25y^2) = x(3x+5y)(3x-5y) 2) 4(x+2y)2-(x-3y)2 = [2(x+2y)+(x-3y)][2(x+2y)-(x-3y)] =(3x+y)(x+7y) 3) 3(4a+b)2-48(a-2b)2 = 3[(4a+b)^2-16(a-2b)^2] =3[4a+b+4(a-2b)][4a+b-4(a-2b)] =3(8a-7b)(9b) =27b(8a-7b)
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