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chornomorecliza
@chornomorecliza
June 2023
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Довести нерівність
(a + 8)(a +1)(b + 2)≥32ab, a>0,b>0
допоможіть будь ласка
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vladxlip
(а²+10а+16)(b+2)≥32ab
a²b+10ab+20a+16b+2a²+32-32ab≥0
a²b-22ab+20a+16b+2a²+32≥0
a²b-6ab+20a+2a²≥-32
a(ab-6b+20+2a)≥-32
a>0,b>0
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Answers & Comments
a²b+10ab+20a+16b+2a²+32-32ab≥0
a²b-22ab+20a+16b+2a²+32≥0
a²b-6ab+20a+2a²≥-32
a(ab-6b+20+2a)≥-32
a>0,b>0