Factorize the following polynomials.
1......4(3x-2)^2 - 9(2x+3)^2
2)......(7x^2 + 8xy + 2y^2) - (x^2 + 3xy + 6y^2)
F.2 Maths,help me!!!
2007-11-17 1:27 am
回答 (2)
2007-11-17 1:45 am
✔ 最佳答案
1) 4(3x-2)^2 - 9(2x+3)^2= 4(9x^2-12x+4) - 9(4x^2+12x+9)
= 36x^2-48x+16-36x^2-108x-81
= -(156x+65)
= -13(12x+5)
2)( 7x^2 + 8xy + 2y^2) - (x^2 + 3xy + 6y^2)
= 7x^2+8xy+2y^2-x^2-3xy-6y^2
= 6x^2+5xy-4y^2
= (2x-y)(3x+4y)
2007-11-17 1:39 am
4(3x-2)^2 - 9(2x+3)^2
= [2(3x-2)]^2 - [3(2x+3)]^2
= (6x-4-6x-9)(6x-4+6x+9)
= -13(12x+5)
(7x^2 + 8xy + 2y^2) - (x^2 + 3xy + 6y^2)
= 6x^2 +5xy - 4y^2
= (3x+4y)(2x-y)
= [2(3x-2)]^2 - [3(2x+3)]^2
= (6x-4-6x-9)(6x-4+6x+9)
= -13(12x+5)
(7x^2 + 8xy + 2y^2) - (x^2 + 3xy + 6y^2)
= 6x^2 +5xy - 4y^2
= (3x+4y)(2x-y)
收錄日期: 2021-04-13 21:35:32
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