x的4次方(x-5)+(5-x) 因式分解

Question

如题所述

Answer 1

x的4次方(x-5)+(5-x)
=x的4次方(x-5)-(x-5)
=（x-5）（x^4-1）
=（x-5）（x²-1）（x²+1）
=（x-5）（x-1）（x+1）（x²+1）

Answer 2

=x的4次方(x-5)-(x-5)
=(x-5)(x的4次方-1）
=(x-5)(x²+1)(x²-1）
=(x-5)(x²+1)(x+1)(x-1)

Answer 3

原式=(x-5)(x^4-1)=(x-5)(x²+1)(x²-1)=(x-5)(x+1)(x-1)(x²+1)

Answer 4

（x²+1)(x+1)(x-1)(x-5)

Answer 5

x的4次方(x-5)+(5-x)
=(x-5)(x^4-1)
=(x-5)(x²+1)(x+1)(x-1)