分解因式题.快1）9(2x-y)^2+12(2x-y)+42）x^2-4x(y+z)+4(y+z)^23)(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^24)(1+x^2)^2-4x^25){x(a+b)+y(a+b)}÷(x+y)6)(m^2-49)÷(m+7)7)(-a^2b^2+16)÷(4-ab)8)2x^2-7x=09)x^2-12x+36=010)(2a-1)^2-(a+2)^2=011)2x^2-98=0

Question

分解因式题.快
1）9(2x-y)^2+12(2x-y)+4
2）x^2-4x(y+z)+4(y+z)^2
3)(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^2
4)(1+x^2)^2-4x^2
5){x(a+b)+y(a+b)}÷(x+y)
6)(m^2-49)÷(m+7)
7)(-a^2b^2+16)÷(4-ab)
8)2x^2-7x=0
9) x^2-12x+36=0
10)(2a-1)^2-(a+2)^2=0
11)2x^2-98=0

Answer 1

1）9(2x-y)^2+12(2x-y)+4
=（2x-y+4)^2
2）x^2-4x(y+z)+4(y+z)^2
=(x-y-z)^2
3)(x+5y)^2+(2x+10y)(3x-y)+(3x-y)^2
=(x+5y+3x-y)^2
=(4x+4y)^2
=16(x+y)^2
4)(1+x^2)^2-4x^2
=(1+x^2+2x)(1+x^2-2x)
=(1+x)^2(1-x)^2
5){x(a+b)+y(a+b)}÷(x+y)
=(a+b)(x+y)/(x+y)
=a+b
6)(m^2-49)÷(m+7)
=m-7
7)(-a^2b^2+16)÷(4-ab)
=4+ab
8)2x^2-7x=0
2x(x-3.5)=0
x1=0 x2=3.5
9) x^2-12x+36=0
(x-6）=0
x=6
10)(2a-1)^2-(a+2)^2=0
2a-1=a+2
a=3
11)2x^2-98=0
x=土7