用平方差公式分解因式。
\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f
\u8bf7\u653e\u5fc3\u4f7f\u7528\uff0c\u6709\u95ee\u9898\u7684\u8bdd\u8bf7\u8ffd\u95ee
\u6ee1\u610f\u8bf7\u53ca\u65f6\u91c7\u7eb3\uff0c\u8c22\u8c22\uff0c\u91c7\u7eb3\u540e\u4f60\u5c06\u83b7\u5f975\u8d22\u5bcc\u503c\u3002
\u4f60\u7684\u91c7\u7eb3\u5c06\u662f\u6211\u7ee7\u7eed\u52aa\u529b\u5e2e\u52a9\u4ed6\u4eba\u7684\u6700\u5f3a\u52a8\u529b\uff01
535²\u00d74-465²\u00d74
=4*\uff08535^2-465^2\uff09
=4*(535+465)(535-465)
=4*1000*70
=280000
-81a²+4b²
=-(81a^2-4b^2)
=-(9a+2b)(9a-2b)
\u5c06\u4e00\u6761\u957f100cm\u7684\u91d1\u8272\u5f69\u5e26\u526a\u6210\u4e24\u7aef\uff0c\u6070\u597d\u53ef\u4ee5\u88c5\u9970\u4e24\u5f20\u5927\u5c0f\u4e0d\u7b49\u7684\u6b63\u65b9\u5f62\u6cb9\u753b\uff08\u4e0d\u8ba1\u91cd\u53e0\u90e8\u5206\uff09\u82e5\u4e24\u5f20\u6cb9\u753b\u7684\u9762\u79ef\u76f8\u5dee50cm²\uff0c\u95ee\u8fd9\u6761\u5f69\u5e26\u5e94\u526a\u6210\u591a\u957f\u7684\u4e24\u7aef\uff1f
\u8bbe\u4e00\u6839xcm\uff0c\u53e6\u4e00\u6839100-xcm\uff0c\u4e0d\u59a8\u8bbex>100-x,x>50
\u8fd9\u5c31\u662f\u6b63\u65b9\u5f62\u7684\u8fb9\u957f
\u5219\u4e24\u4e2a\u6b63\u65b9\u5f62\u8fb9\u957f\u662fx/4,(100-x)/4
\u6240\u4ee5\u9762\u79ef\u5dee=(x/4)^2-[(100-x)/4]^2
=[x/4+(100-x)/4][x/4-(100-x)/4]
=100*(x/2-100/4)=50
x/2-25=50/100=1/2
x=50+1=51
100-x=49
\u6240\u4ee5\u4e00\u683951cm\uff0c\u4e00\u683949cm
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绛旓細=(2X+Y-Z)(Y+Z)
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