MATH 的 FACTORIZATION 一定要連 "式"

1) 63x^2-7x^4= (7x^2)(9 - x^2)= (7x^2)(3 - x)(3 + x)= 7(x + 3)(3 - x)x^2 2) 4x^4+12x^3+3x^2-3x-1 = 4x^4 + 12x^3 + 4x^2 - x^2 - 3x - 1= (4x^2)(x^2 + 3x + 1) - (x^2 + 3x + 1)= (4x^2 - 1)(x^2 + 3x + 1)= (2x - 1)(2x + 1)(x^2 + 3x + 1) 3)8x^2y-2x-10y-1-16xy= (y8x^2 - 16xy - 10y) - 2x - 1= 2y(4x^2 - 8x - 5) - (2x + 1)= 2y(2x + 1)(2x - 5) - (2x + 1)= (2x + 1)(2y(2x - 5) - 1)= (2x + 1)(4xy - 10y - 1) 4) x^4+64= x^4 + 16x^2 + 64 - 16x^2= (x^2 + 8)^2 - (4x)^2= (x^2 - 4x + 8)(x^2 + 4x + 8) 5)x^2+y^2+z^2+2xy+2yz+2xz= (x^2 + 2xy + y^2) + z^2 + 2yz + 2xz= (x + y)^2 + 2z(x + y) + z^2= (x + y + z)^2