分解因式:1,9/4x^2+x+1/9 2,4a(2x-y)^2-36a 3,a^2(x^2-y^2)+b^2(y^2-x^2)_数学解答

分解因式:1,9/4x^2+x+1/9 2,4a(2x-y)^2-36a 3,a^2(x^2-y^2)+b^2(y^2-x^2)

人气：120 ℃　时间：2020-09-10 18:54:36

解答

1,9/4x^2+x+1/9
=(3x/2+1/3)²
2,4a(2x-y)^2-36a
=4a[(2x-y)²-9]
=4a(2x-y+3)(2x-y-3)
3,a^2(x^2-y^2)+b^2(y^2-x^2)
=(x²-y²)(a²-b²)
=(x+y)(x-y)(a+b)(a-b)