因式分解 2-1/8a^4 2x^2-7xy+6y^2 a^n+1-4a^n-1

问题描述:

因式分解 2-1/8a^4 2x^2-7xy+6y^2 a^n+1-4a^n-1

2-1/8a^4
=(1/8)*(16- x^4)
=(1/8)*(4+x²)(4-x²)
=(1/8)*(4+x²)(2+x)(2-x)
.
2x^2-7xy+6y^2
=(2x-3y)(x-2y)
.
a^(n+1) - 4a^(n-1)
=a^(n-1)·(a²-4)
=a^(n-1)·(a+2)(a-2)