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  • 25-02-2021
  • Mathematics
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(a+b)^2≥4ab

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ishwarisuryawanshi6
ishwarisuryawanshi6 ishwarisuryawanshi6
  • 25-02-2021

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Hasan169
Hasan169 Hasan169
  • 25-02-2021

Answer:

(a+b) ²≥4ab explanation below↓↓↓↓

Step-by-step explanation:

We know that

(a-b) ²≥0

a²-2ab+b²≥0

Move -2ab to the other side

a²+b²≥2ab

Add 2ab to both sides

a²+2ab+b²≥4ab

(a+b) ²=a²+2ab+b² therefore :

(a+b) ²≥4ab

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