Mathematics
Senior High
Resolved
不等式の証明です。
なぜa=b=0とかかないのですか
16 (1) (a+b)(a³+b³)− (a²+b²)2
=a+ab³+ab+b4-(a+2a²b²+64)
=ab³+a³b-2a2b2
=ab(a²-2ab+b²)
=ab(a-6)²≥0
£T, (a+b)(a³+b³) ≥ (a²+b²) 2
等号はα=bのとき。←a=b=0?
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