因式分解x^4-6x^2+1,m^2-16n^2+6mn
问题描述:
因式分解x^4-6x^2+1,m^2-16n^2+6mn
答
x^4-6x^2+1=(x^4-6x^2+9-8)
=(x^2-3)^2-(2√2)^2
=(x^2-3+2√2)(x^2-3-2√2)
m^2-16n^2+6mn=(m+8n)(m-2n)第二题的过程能写一下?m^2-16n^2+6mn=m^2+6mn+(3m)^2-(3m)^2-16n^2=(m+3n)^2-(5n)^2=(m+8n)(m-2n)