开始写了,看清是分解因式!,a^2-81,36-x^2,1-16b^2,m^2-9n^2,0.25q^2-121p^2,169x^2-4y^2,9a^2p^2-b^2q^2,(m+n)^2-n^2,49(a-b)^2-16(a+b)^2,(2x+y)^2-(x+2y)^2,(x^2+y^2)^2-x^2y^2,3ax^2-3ay^4,p^4-1好了,^2是平方^3是立方,

Question

开始写了,看清是分解因式!,a^2-81 ,36-x^2 ,1-16b^2 ,m^2-9n^2 ,0.25q^2-121p^2 ,169x^2-4y^2 ,9a^2p^2-b^2q^2 ,(m+n)^2-n^2 ,49(a-b)^2-16(a+b)^2 ,(2x+y)^2-(x+2y)^2 ,(x^2+y^2)^2-x^2y^2 ,3ax^2-3ay^4 ,p^4-1 好了,^2是平方^3是立方,

Answer 1

a^2-81 =(a-9)(a+9)
36-x^2 =(6-x)(6+x)
1-16b^2 =(1-4b)(1+4b)
m^2-9n^2 =(m-3n)(m+3n)
0.25q^2-121p^2 =(0.5q-11p)(0.5q+11p)
169x^2-4y^2 =(13x-2y)(13x+2y)
9a^2p^2-b^2q^2=(3ap-bq)(3ap+bq)
(m+n)^2-n^2 =m(m+2n)
49(a-b)^2-16(a+b)^2 =(3a-11b)(11a-3b)
(2x+y)^2-(x+2y)^2 =3(x-y)(x+y)
(x^2+y^2)^2-x^2y^2=(x^2+y^2-xy)(x^2+y^2+xy)
3ax^2-3ay^4 =3a(x-y^2)(x+y^2)
p^4-1=(p-1)(p+1)(p^2+1)