Question

因式分解题目，急求答案，可加悬赏

1、x^4+64
2、x^8+x^4y^4+y^8

Answer 1

1、x^4+64
=x^4+16x²+64-16x²
=(x²+8)²-16x²
=(x²+8+4x)(x²+8-4x)

2、x^8+x^4y^4+y^8
=x^8+2x^4y^4+y^8 -x^4y^4
=(x^4+y^4)²-(x²y²)²
=(x^4+x²y²+y^4)(x^4-x²y²+y^4)

Answer 2

1、
=x^4+16x²+64-16x²
=(x²+8)²-16x²
\=(x²+4x+8)(x²-4x+8)

2、
=x^8+2x^4y^4+y^4-x^4y^4
=(x^4+y^4)²-x^4y^4
=(x^4+x²y²+y^4)(x^4-x²y²+y^4)
=(x^4+2x²y²+y^4-x²y²)(x^4-x²y²+y^4)
=[(x²+y²)²-x²y²](x^4-x²y²+y^4)
=(x²+xy+y²)(x²-xy+y²)(x^4-x²y²+y^4)

Answer 3

1.原式=x^4+16x^2+64-16x^2
=(x^2+8)^2-16x^2
=(x^2+4x+8)(x^2-4x+8)
2.x^8+x^4y^4+y^8
=x^8+2*x^4y^4+y^8 -x^4y^4
=(x^4+y^4)^2-x^4y^4
=(x^4+y^4-x^2y^2)(x^4+y^4+x^2y^2)
=(x^4+y^4-x^2y^2)(x^2+y^2-xy)(x^2+y^2+xy)