分解x^2-x^4=

显示全部楼层 · 2012-12-20 23:22:48

x^2-x^4=(x+x^2)(x-x^2)=x^2(1+x)(1-x)
（m+n）^2-n^2=m(m+2n)
49（a-b）^2-16（a+b）^2=[7(a-b)+4(a+b)][7(a-b)-4(a+b)]=(11a-3b)(3a-11b)
p^4-1=(p^2+1)(p+1)(p-1)用简便方法计算973^2-473^2=(973+473)(973-473)=723000...

千问 · 2012-12-20 23:22:48

解：x^2-x^4=x^2（1+X)(1-X)
（m+n）^2-n^2=m(m+2n)
49（a-b）^2-16（a+b）^2=[7(a-b)+4(a+b)][7(a-b)-4(a+b)]=(11a-3b)(3a-11b)
p^4-1=(p^2+1)(p+1)(p-1)
973^2-473^2=...

千问 · 2012-12-20 23:22:48

x^2-x^4=（x+x^2)(x-X^2)（m+n）^2-n^2=(m+n+n)(m+n-n)=(m+2n)*m
49（a-b）^2-16（a+b）^2=[7（a-b)+4(a+b)][7(a+b)-4(a-b)]=(11a-3b)(3a+11b)p^4-1=(P^2+1)(p^2-1)=(p^2+1)(p+1)(p-1)973^...

千问 · 2012-12-20 23:22:48

：x^2-x^4=x^2*(1-x^2)=x^2(1+x)1-x)（m+n）^2-n^2=(m+n+n)*(m+n-n)=m(m+2n)49（a-b）^2-16（a+b）^2=(7a-7b+4a+4b)*(7a-7b-4a-4b)=(11a-3b)*(3a-11b)p^4-1=(p^2+1)*(p^2-1)...

千问 · 2012-12-20 23:22:48

x^2-x^4=x^2(1-x^2)=x^2(1+x)(1-x)=-x^2(x=1)(x-1)(m+n)^2-n^2=(m+n+n)(m+n-n)=m(m+2n)49(a-b)^2-16(a+b)^2=(7a-7b)^2-(4a+4b)^2=(7a-7b+4a+4b)(7a-7b-4a-4b)=(11a-3b)(3a-11b)973^2-473^...