因式分解4(x^2+2x)^2-4
问题描述:
因式分解4(x^2+2x)^2-4
答
4(x^2+2x)^2-4
=4[(x²+2x)²-1]
=4(x²+2x+1)(x²+2x-1)
=4(x+1)²(x+1+√2)(x+1-√2)