因式分解x^3-4x^2y x^3+2x^2+x和分解因式4a^2-1 m^2+n^2+2mn-p^2

问题描述:

因式分解x^3-4x^2y x^3+2x^2+x和分解因式4a^2-1 m^2+n^2+2mn-p^2

x^3-4x^2y
=x²(x-4y)
x^3+2x^2+x
=x(x²+2x+1)
=x(x+1)²
4a²-1=(2a+1)(2a-1)
m²+n²+2mn-p²
=(m+n)²-p²
=(m+n+p)(m+n-p)