Question

What is formula for (a+b)² and (a²+b²) and How Both are different from each other . ​

Answer 1

Step-by-step explanation:

(a+b)² = a²+b²+2ab

a²+b² = (a+b)²- 2ab

Answer 2

Solution -

These two formulas are different from each other. Firstly, we will write their whole formula.

➝ (a + b)² = a² + b² + 2ab

• In this formula, we will add the two terms and then take square.

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➝ (a² + b²) = (a + b)² - 2ab

• In this formula, we will take square first and then add both the terms.

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Let us take an example !!

• a = 4
• b = 7

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★ Formula 1

➝ (4 + 7)²⠀⠀⠀⠀⠀⠀⠀➝ (4)² + (7)² + 2(4)(7)

➝ (11)²⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 16 + 49 + 56

➝ 121⠀⠀⠀⠀⠀⠀⠀⠀⠀ ➝ 121

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★ Formula 2

➝ (4)² + (7)²⠀⠀⠀⠀⠀ ➝ (4 + 7)² - 2(4)(7)

➝ 16 + 49⠀⠀⠀⠀⠀⠀ ➝ 121 - 56

➝ 65⠀⠀⠀⠀⠀⠀⠀⠀⠀➝ 65

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Here, we can see that both the formulas gives the different solution. It means that both formulas are different from each other.