题目内容
14.先化简再求值:(2a+b)2+(3a+b)(3a-b)-5(2a2-ab),其中a=-$\frac{1}{3}$,b=-$\frac{2}{9}$.分析 先算乘法,再合并同类项,最后代入求出即可.
解答 解:(2a+b)2+(3a+b)(3a-b)-5(2a2-ab)
=4a2+4ab+b2+9a2-b2-10a2+5ab
=3a2+9ab,
当a=-$\frac{1}{3}$,b=-$\frac{2}{9}$时,原式=3×(-$\frac{1}{3}$)2+9×(-$\frac{1}{3}$)×(-$\frac{2}{9}$)=1.
点评 本题考查了整式的混合运算和求值的应用,能正确运用整式的运算法则进行化简是解此题的关键.
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