Question

因式分解，在线等，有分！！！

（2a-b）^2+8ab;9m^2-n^2+3m-n;(a-3)^2+(3-a);(a^2+4a)^2+8(a^2+4a)+16;4m^2+2mn+1/4n^2;6xy^2-9x^2y-y^3;x^2+16y^2-8xy;x^2+15x+36;a^2-2ab+b^2-c^2

Answer 1

（2a-b）^2+8ab=（2a+b）^2

9m^2-n^2+3m-n=(3m-n)(3m+n+1)

(a-3)^2+(3-a)=(a-3)(a-4)

(a^2+4a)^2+8(a^2+4a)+16=(a^2+4a+4)^2=(a+2)^4

4m^2+2mn+1/4n^2=(2m+1/2n)^2

6xy^2-9x^2y-y^3=-y(3x-y)^2

x^2+16y^2-8xy=(x-4y)^2

x^2+15x+36=(x+3)(x+12)

a^2-2ab+b^2-c^2=(a-b+c)(a-b-c)