题目内容
化简求值(3m﹣2n)2+(3m+2n)(3m﹣2n)﹣9(m+n)2,其中
.
解:(3m﹣2n)2+(3m+2n)(3m﹣2n)﹣9(m+n)2
=9m2﹣12mn+4n2+9m2﹣4n2﹣9(m2+2mn+n2)
=9m2﹣12mn+4n2+9m2﹣4n2﹣9m2﹣18mn﹣9n2
=9m2﹣30mn﹣9n2,
把
代入上式得:
=9×
﹣30×(﹣
)×
﹣9×
=
+
=
.
=9m2﹣12mn+4n2+9m2﹣4n2﹣9(m2+2mn+n2)
=9m2﹣12mn+4n2+9m2﹣4n2﹣9m2﹣18mn﹣9n2
=9m2﹣30mn﹣9n2,
把
=9×
=
=
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