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July 2022
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Помогите, пожалуйста!!
Докажите неравенство:
(а+2)(а+4)<(а+3)^2
(b-1)(b-3)<(b-2)^2
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oganesbagoyan
Verified answer
(а+2)(а+4)<(а+3)^2
a^2+4a+2a+8 < a^2+6a+9
a^2+6a+8 < a^2+6a+8 +1
(b-1)(b-3) < (b-2)^2
b^2- 3b-b+3 < b^2-4b+4
b^2-4b+3 < b^2-4b+3 +1
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Answers & Comments
Verified answer
(а+2)(а+4)<(а+3)^2a^2+4a+2a+8 < a^2+6a+9
a^2+6a+8 < a^2+6a+8 +1
(b-1)(b-3) < (b-2)^2
b^2- 3b-b+3 < b^2-4b+4
b^2-4b+3 < b^2-4b+3 +1