将下列各式因式分解:1.2a(x+1)^2-2ax2.7x^2-7分之13.4a(b-a)-b^24.(a-b)(3a+b)^2+(a+3b)^2(b-2)5.(m^2-5)^2-8(m^2-5)+166.16x^4-8x^2y^2+y^4

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将下列各式因式分解:1.2a(x+1)^2-2ax2.7x^2-7分之13.4a(b-a)-b^24.(a-b)(3a+b)^2+(a+3b)^2(b-2)5.(m^2-5)^2-8(m^2-5)+166.16x^4-8x^2y^2+y^4
将下列各式因式分解:
1.2a(x+1)^2-2ax
2.7x^2-7分之1
3.4a(b-a)-b^2
4.(a-b)(3a+b)^2+(a+3b)^2(b-2)
5.(m^2-5)^2-8(m^2-5)+16
6.16x^4-8x^2y^2+y^4

将下列各式因式分解:1.2a(x+1)^2-2ax2.7x^2-7分之13.4a(b-a)-b^24.(a-b)(3a+b)^2+(a+3b)^2(b-2)5.(m^2-5)^2-8(m^2-5)+166.16x^4-8x^2y^2+y^4
2a(x+1)^2-2ax
=2a[(x+1)^2-x]
=2a(x^2+x+1)
7x^2-7分之1
=(1/7)(49x^2-1)
=(1/7)(x+7)(x-7)
4a(b-a)-b^2
=-(4a^2-4ab+b^2)
=-(2a-b)^2
(a-b)(3a+b)^2+(a+3b)^2(b-2)
你是不是写错了
应该是(a-b)(3a+b)^2+(a+3b)^2(b-a)吧
(a-b)(3a+b)^2+(a+3b)^2(b-a)
=(a-b)[(3a+b)^2-(a+3b)^2]
=(a-b)(3a+b+a+3b)(3a+b-a-3b)
=(a-b)(4a+4b)(2a-2b)
=8(a+b)(a-b)^2
(m^2-5)^2-8(m^2-5)+16
=(m^2-5)^2-2*4(m^2-5)+4^2
=(m^2-5-4)^2
=(m^2-9)^2
=(m+3)^2(m-3)^2
16x^4-8x^2y^2+y^4
=(4x^2)^2-2*4x^2*y^2+(y^2)^2
=(4x^2-y^2)^2
=(2x+y)^2(2x-y)^2