Question

把下列各式因式分解 (1)8a^3b^2-12ab^3c (2)10a^2b+5ab^2-15ab (3)(2a+b)^2-(a-2b)^2

(4)x^2-4(x-1)
(5)x^2-a^4
(6)x^2(a-b)+(b-a)
过程.......谢谢～！！

Answer 1

(1)8a^3b^2-12ab^3c
=4ab²(2a²-3bc)

(2)10a^2b+5ab^2-15ab
=5ab(2a+b-3)

(3)(2a+b)^2-(a-2b)^2
=(2a+b-a+2b)(2a+b+a-2b)
=(a+3b)(2a-b)

(4)x^2-4(x-1)
=x²-4x+4
=(x-2)²

(5)x^2-a^4
=(x-a²)(x+a²)

(6)x^2(a-b)+(b-a)
=(a-b)(x²-1)
=(a-b)(x-1)(x+1)