因式分解4(x^2+2x)^2-4

2024-12-22 00:25:51
推荐回答(2个)
回答1:

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)

回答2:

4(x²+2x)²-4
=[2(x²+2x)]²-2²
=[2(x²+2x)+2][2(x²+2x)-2]
=(2x²+4x+2)(2x²+4x-2)