Question

X^4-X^2因式分解

还有a^3(x+y)^2-4a^3c^2

Answer 1

X^4-X^2
=x²(x²-1)
=x²(x-1)(x+1)

a^3(x+y)^2-4a^3c^2
=a³[(x+y)²-4c²]
=a³(x+y-2c)(x+y+2c)

Answer 2

X^4-X^2
=x²（x²-1）
=x²(x-1)(x+1)

a^3(x+y)^2-4a^3c^2
=a³[(x+y)²-4c²]
=a³(x+y-2c)(x+y+2c)

Answer 3

解：x^4－x²＝x²﹙x－1﹚﹙x＋1﹚;
a³﹙x＋y﹚²－4a³c²
＝a³[﹙x＋y﹚²－4c²]
＝a³﹙x＋y－2c﹚﹙x＋y＋2c﹚

Answer 4

X^4-X^2=x^2(x^2-1)=x^2(x+1)(x-1)
a^3(x+y)^2-4a^3c^2
=a^3[(x+y)^2-4c^2]
=a^3(x+y+2c)(x+y-2c)

Answer 5

X^2（x+1）（x-1）
a^3（x+y+2c）(x+y-2c)