(3x+1)^2(3x-1)^2 (x-2y)(x+2y)-(x+2y)^2 -36a^2+12ab-b^2 (2m-3n)^2-2m+3n (x+2y)(x-2y)-(2x-y)(-2x-y)(2a+b)^2-(3a-b)^2+5a(a-b)(3x+1)^2(3x-1)^2 (x-2y)(x+2y)-(x+2y)^2 -36a^2+12ab-b^2 (2m-3n)^2-2m+3n (x+2y)(x-2y)-(2x-y)(-2x-y) (2a+b)^2-(3a-b)^2+5a(a-b)要过程

问题描述:

(3x+1)^2(3x-1)^2 (x-2y)(x+2y)-(x+2y)^2 -36a^2+12ab-b^2 (2m-3n)^2-2m+3n (x+2y)(x-2y)-(2x-y)(-2x-y)
(2a+b)^2-(3a-b)^2+5a(a-b)
(3x+1)^2(3x-1)^2 (x-2y)(x+2y)-(x+2y)^2 -36a^2+12ab-b^2 (2m-3n)^2-2m+3n (x+2y)(x-2y)-(2x-y)(-2x-y) (2a+b)^2-(3a-b)^2+5a(a-b)要过程

因式分解?还是计算?
解1:
(3x+1)^2(3x-1)^2
=[(3x+1)(3x-1)]^2
=(9x^2-1)^2
=81x^4-18x^2+1
解2:
(x-2y)(x+2y)-(x+2y)^2
=(x+2y)(x-2y-x-2y)
=(x+2y)(-4y)
解3:
-36a^2+12ab-b^2
=-(36a^2-12ab+b^2)
=-(6a-b)^2
解4:
(2m-3n)^2-2m+3n
=(2m-3n)^2-(2m-3n)
=(2m-3n)(2m-3n-1)
解5:
(x+2y)(x-2y)-(2x-y)(-2x-y)
=(x+2y)(x-2y)+(2x-y)(2x+y)
=x^2-4y^2+4x^2-y^2
=5x^2-5y^2
=5(x^2-y^2)
=5(x+y)(x-y)
解6:
(2a+b)^2-(3a-b)^2+5a(a-b)
=4a^2+4ab+b^2-9a^2+6ab-b^2+5a^2-5ab
=5ab

(3x+1)^2(3x-1)^2 =[(3x+1)(3x-1)]^2=(9x^2-1)^2=81x^4-18x^2+1(x-2y)(x+2y)-(x+2y)^2 =(x+2y)(x-2y-x-2y)=-4y(x+2y)=-4xy-8y^2-36a^2+12ab-b^2=-(36a^2-12ab+b^2)=-(6a-b)^2(2m-3n)^2-2m+3n =(2m-3n)(2m-3n-1)(x+2y...