當(dāng)a2+b2=6,ab=-3時,求(2a?3b)(3a?2b)+(2a?b)2+(2ab2)3÷8/3a3b4的值.
當(dāng)a
2+b
2=6,ab=-3時,求
(2a?3b)(3a?2b)+(2a?b)2+(2ab2)3÷a3b4的值.
優(yōu)質(zhì)解答
原式=6a
2-4ab-9ab+6b
2+4a
2-4ab+b
2+8a
3b
6÷
a
3b
4,
=10a
2-17ab+7b
2+3b
2,
=10a
2-17ab+10b
2,
=10(a
2+b
2)-17ab.
當(dāng)a
2+b
2=6,ab=-3時,
原式=10×6-17×(-3),
=60+51,
=111.
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