Question

把下列格式分解因式：a²b²-m² ,(m-a)²-(n+b)²

把下列格式分解因式：a²b²-m² ,(m-a)²-(n+b)² ,a²-81,36-x²,1-16b² m²-9n², (m+n)²-n²,49(a-b)²-16(a+b)²,(2x+y)²-(x+2y)²

在线等 求过程 好的追加50以上

Answer 1

a²b²-m²
=（ab+m）（ab-m）
,(m-a)²-(n+b)²
=(m-a+n+b)(m-a-n-b)
,a²-81
=(a-9)(a+9)
,36-x²
=(6+x)(6-x)
1-16b²
=(1+4b)(1-4b)
m²-9n²
=(m-3n)(m+3n)
(m+n)²-n²
=(m+n+n)(m+n-n)
=m(m+2n)
49(a-b)²-16(a+b)²
=(7a-7b+4a+4b)(7a-7b-4a-4b)
=(11a-3b)(3a-11b)
(2x+y)²-(x+2y)²
=(2x+y+x+2y)(2x+y-x-2y)
=3(x+y)(x-y)

Answer 2

a²b²-m²=(ab+m)(ab-m)
(m-a)²-(n+b)² =(m-a+n+b)[m-a-(n+b)]=(m+n-a+b)(m-n-a-b)
a²-81=(a+9)(a-9)
36-x²=(6+x)(6-x)
1-16b²=1-(4b)²=(1+4b)(1-4b)
m²-9n²=m²-(3n)²=(m+3n)(m-3n)
(m+n)²-n²=(m+m+n)(m+n-n)=m(2m+n)
49(a-b)²-16(a+b)²=[9(a-b)]²-[4(a+b)]²=[9(a-b)+4(a+b)][9(a-b)-4(a+b)]=(13a-5b)(5a-13b)
(2x+y)²-(x+2y)² =[(2x+y)+(x+2y)][(2x+y)-(x+2y)]=3(x+y)(x-y)

Answer 3

1、=(ab+m)(ab-m)
2、=(m-a+n+b)(m-a-n-b)
3、=(a+9)(a-9)
4、=(6-x)(6+x)
5、=(m+3n)(m-3n)
6、=(m+n+n)(m+n-n)=m(m+2n)
7、=(7(a-b)+4(a+b))(7(a-b)-4(a+b))=(11a-3b)(3a-11b)
8、=(2x+y+x+2y)(2x+y-x-2y)=(3x+3y)(x-y)=3(x+y)(x-y)

Answer 4

1 (ab+m)(ab-m)
2 (m-a+n+b)(m-a-n-b)
3(a+9)(a-9)
4(6+x)(6-x)
5(1+4b)(1-4b)
6(m+3n)(m-3n)
7m(m+2n)
8(7a-7b-4a-4b)(7a-7b+4a+4b)=(3a-11b)(11a-3b)
9( 2x+y-x-2y)(2x+y+x+2y)=3(x-y)(x+y)