因式分解1)x^4-2x²(y+z)²+(y+z)^42)y^4-8y²+163)(x²-7)²-6(x²-7)+94)8x^4-2x²(x+z)²计算:5)(15a^2n-1)²(-16/205 a^2n+1)

问题描述:

因式分解
1)x^4-2x²(y+z)²+(y+z)^4
2)y^4-8y²+16
3)(x²-7)²-6(x²-7)+9
4)8x^4-2x²(x+z)²
计算:
5)(15a^2n-1)²(-16/205 a^2n+1)

1.x^4-2x²(y+z)²+(y+z)^4
=[x^2-(y+z)^2]^2
=[x-(y+z)]^2[x+(y+z)]^2
2.y^4-8y²+16
=(y^2-4)^2
=(y+2)^2(y-2)^2
3.(x²-7)²-6(x²-7)+9
=(x^2-7-3)^2
=(x-根号10)^2(x+根号10)^2
4.8x^4-2x²(x+z)²
=2x^2(4x^2-(x+z)^2)
==2x^2(2x-(x+z))(2x+(x+z))
=2x^2(x-z)(3x+z)
5. 看不懂

原式=(x²-(y+z)²)²=(x+y+z)²(x-y-z)²
原式=(y²-4)²=(y+2)²(y-2)²
原式=(x²-7-3)²=(x²-10)²=(x-根号10)²(x+根号10)²
原式=2x²【4x²-(x+z)²】=2x²【(2x+x+z)(2x-x-z)】=2x²(3x+z)(x-z)
最后一题写清楚点啊

因式分解
1)x^4-2x²(y+z)²+(y+z)^4
=(x^2-(y+z)^2)^2
2)y^4-8y²+16
=(y^2-4)^2
3)(x²-7)²-6(x²-7)+9
=(x^2-10)^2
4)8x^4-2x²(x+z)²
=2x^2(4x^2-(x+z)^2)^2=(3x^2+2xz+z^2)2x^2
计算:
5)(15a^2n-1)²(-16/205 a^2n+1)
=(15a^2n-15a^2n/15a^2n)²(-16/205 a^2n+(16/205 a^2n)/(16/205 a^2n))=14^2*199/205=39004
最后一题你自己再算算,好像不对,主要思路就是把1换成前面的数……