x^2(3x+2y)^2-y^2(2x+3y)^2
=x^2(9x^2+12xy+4y^2)-y^2(4x^2+12xy+9y^2)
=9x^4+12x^3y-12xy^3-9y^4
=9(x^2+y^2)(x^2-y^2)+12xy(x^2-y^2)
=(x^2-y^2)(9x^2+12xy+9y^2)
=(x+y)(x-y)(9x^2+12xy+9y^2)
如果不懂,祝学习愉快!
因式分解：x^(3x+2y)^2-y^2(2x+3y),
x^2(3x+2y)^2-y^2(2x+3y)^2
=x^2(9x^2+12xy+4y^2)-y^2(4x^2+12xy+9y^2)
=9x^4+12x^3y-12xy^3-9y^4
=9(x^2+y^2)(x^2-y^2)+12xy(x^2-y^2)
=(x^2-y^2)(9x^2+12xy+9y^2)
=(x+y)(x-y)(9x^2+12xy+9y^2)
如果不懂,祝学习愉快!