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
绛旓細骞虫柟宸叕寮忓洜寮忓垎瑙ｏ細锛坅+b+c锛夌殑骞虫柟-锛坅+b-c锛夌殑骞虫柟=锛坅+b+c+a+b-c锛夛紙a+b+c-a-b+c锛=2c锛2a+2b锛=4c锛坅+b锛夈傚綋鍥犲紡鏄袱涓暟涔嬪拰锛屼互鍙婅繖涓や釜鏁颁箣宸浉涔樻椂锛岀Н鏄簩椤瑰紡銆傝繖鏄洜涓哄叿澶囪繖鏍风壒鐐圭殑涓や釜浜岄」寮忕浉涔橈紝绉殑鍥涢」涓細鍑虹幇浜掍负鐩稿弽鏁扮殑涓ら」锛屽悎骞惰繖涓ら」鐨勭粨鏋滀负闆...
绛旓細=(2X+Y-Z)(Y+Z)
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绛旓細鍘熸潵鍏紡A^2-B^2=(A+B)(A-B)锛2X+Y锛塣2-(X+2Y)^2 =锛2X+Y+X+2Y)(2X+Y-X-2Y)=(3X+3Y)(X-Y)=3(X+Y)(X-Y)
