分解因式题p56习题2.2(1)a^2-81(2）36-x^231-16b^24m^2-9n^50.25q^2-121p^26169x^2-4y^279a^2p^2-b^2q^28449a^2-x^2y^

Question

分解因式题
p56习题2.2
(1)a^2-81
(2）36-x^2
3 1-16b^2
4 m^2-9n^
5 0.25q^2-121p^2
6 169x^2-4y^2
7 9a^2p^2-b^2q^2
8 449a^2-x^2y^

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)
49a^2-x^2y^2=(7a-xy)(7a+xy)
(m+n)^2-N^2=(m+n+N)(m+n-N)
49(a-b)^2-16(a+b)^2=(7a-7b-4a-4b)(7a-7b+4a+4b)=(3a-11b)(11a-3b)
(2x+y)^3-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=3(x+y)(x-y)
(x^2+y^2)^2-x^2 y^2=(x^2+y^2+xy)(x^+y^2-xy)
3ax^2-3ay^4=3a(x+y^2)(x-y^2)
p^4-1=(p^2-1)(p^2+1)=(p-1)(p+1)(p^2+1)