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電子課本網(wǎng) 第49頁

第49頁

信息發(fā)布者:
?$ =(2n+1)(2n-1)(4n^2-1)$?
?$ =(4n^2-1)(4n^2-1)$?
?$ =16n^4-8n^2+1$?
解:原式?$=4a^2-b^2+3(4a^2-4ab+b^2)$?
?$=16a^2-12ab+2b^2$?
?$=4a(4a-3b)+2b^2$?
將?$a=\frac {3} {4},$??$b=\frac {1} {3}$?代入得:
?$ 4a(4a-3b)+2b^2=4×\frac {3} {4}×(4×\frac {3} {4}-3×\frac {1} {3})+2×{(\frac {1} {3})}^2$?
?$ =3×(3-1)+\frac {2} {9}$?
?$ =\frac {56} {9}$?
解:設(shè)這個正方形的邊長為?$x\mathrm {cm}$?
?$ {(x+3)}^2=x^2+39$?
?$ x^2+6x+9=x^2+39$?
?$ 6x=30$?
?$x=5$?
答:這個正方形的邊長為?$5\ \mathrm {cm}。$?
解:?$x-z=(x-y)+(y-z)=4$?
?$ x^2-z^2=(x+z)(x-z)=14×4=56$?
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