分解因式 (1) x^2-9-2xy+y^2 (2) a^2-9ab+14b^2 (3)4a^2-b^2-4a+1 (4)5(x^2+1)^2-20x^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/28 03:05:35
分解因式(1)x^2-9-2xy+y^2(2)a^2-9ab+14b^2(3)4a^2-b^2-4a+1(4)5(x^2+1)^2-20x^2分解因式(1)x^2-9-2xy+y^2(2)a^2-9a

分解因式 (1) x^2-9-2xy+y^2 (2) a^2-9ab+14b^2 (3)4a^2-b^2-4a+1 (4)5(x^2+1)^2-20x^2
分解因式 (1) x^2-9-2xy+y^2 (2) a^2-9ab+14b^2 (3)4a^2-b^2-4a+1 (4)5(x^2+1)^2-20x^2

分解因式 (1) x^2-9-2xy+y^2 (2) a^2-9ab+14b^2 (3)4a^2-b^2-4a+1 (4)5(x^2+1)^2-20x^2
(1) x^2-9-2xy+y^2
=(x+y)^2-9
=(x+y+3)(x+y-3)
(2) a^2-9ab+14b^2
=(a-2b)(a-7b)
(3)4a^2-b^2-4a+1
=(2a-1)^2-b^2
=(2a+b-1)(2a-b-1)
(4)5(x^2+1)^2-20x^2
=5[(x^2+1)^2-4x^2]
=5(x^2+1+2x)(x^2+1-2x)
=5(x+1)^2(x-1)^2

(1) (x-y+3)(x-y-3)
(2) (a-2b)(a-7b)
(3) (2a+b-1)(2a-b-1)
(4) 5(x+1)^2(x-1)^2