平方差公式分解因式
\u56e0\u5f0f\u5206\u89e3\u3001\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\u3001535²\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
\u4e00\u3002\u597d\u50cf\u662f x^2-y^2 \u5427\uff1f\uff1f\u4e0d\u7136\u6ca1\u6cd5\u5206\u89e3\u3002 x^2-y^2=(x+y)(x-y).
\u4e8c\u3002(a+b)^2-100=(a+b)^2-10^2=(a+b+10)(a+b-10).
\u4e09\u30021 -a^2-b^2=-(a^2+b^2)\uff0c\u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\uff1b
2 2a^2-8b^2=2(a^2-4b^2)=2(a+2b)(a-2b)\uff0c\u80fd\u5206\u89e3\uff1b
3 x^2-y^2-4\uff0c \u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\uff1b
4 -9a^2b^2+1=1-(3ab)^2=(1+3ab)(1-3ab)\uff0c\u80fd\u5206\u89e3\uff1b
5 (x-y)^2+(y-x)^2=2(x-y)^2\uff0c\u4e0d\u80fd\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5206\u89e3\uff1b
6 x^4-1=(x^2)^2-1=(x^2+1)(x^2-1)=(x^2+1)(x+1)(x-1)\uff0c\u80fd\u5206\u89e3\u3002
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绛旓細骞虫柟宸叕寮锛歛^2-b^2=(a+b)(a-b)x^2-(x-y)^2=[x+锛坸-y锛塢[x-锛坸-y)]=(2x-y)*y=2xy-y^2 4x^2-(x-y)^2=(2x)^2-(x-y)^2=[2x+锛坸-y锛塢[2x-锛坸-y)]=(3x-y)(x+y)=3x^2+2xy-y^2 -(a+b)^2+(2a-3b)^2=(2a-3b)^2-(a+b)^2=[(2a-3b)+(a...
