把下列因式分解`
问题描述:
把下列因式分解`
32a(x^2+x)^2-2a
答
32a(x²+x)²-2a
=2a[16(x²+x)²-1]
=2a[(4x²+4x)²-1]
=2a[(4x²+4x-1)(4x²+4x+1)]
=2a(x - √2 +1)(x + √2 +1)(2x+1)²