因式分解 81x^4-18x^2y^2+y^4

问题描述:

因式分解 81x^4-18x^2y^2+y^4

81x^4-18x^2y^2+y^4
=(9x^2-y^2)^2
=[(3x-y)^2][(3x+y)^2]

81x^4-18x^2y^2+y^4
=(9x^2-y^2)^2
=(3x+y)^2(3x-y)^2

81x^4-18x^2y^2+y^4
=(9x²-y²)²
=(3x+y)²(3x-y)²