(m+2n-p)(m-2n+p)平方差公式怎么算?

问题描述:

(m+2n-p)(m-2n+p)平方差公式怎么算?

(m+2n-p)(m-2n+p)
=[m+(2n-p)][m-(2n-p)]
=M^2-(2n-p)^2

原式=[m+(2n-p)][m-(2n-p)]
=m²-(2n-p)²
=m²-4n²+4np-p²

(m+2n-p)(m-2n+p)
=(m+2n-p)[m-(2n-p)]
=m^2-(2n-p)^2
=m^2-(4n^2+p^2-4np)
=m^2-4n^2-p^2+4np