Question

*Which of the following mathematical expansion formuls would be appropriate to solve (96)²?*

1️⃣ ( 100 + 4)²
2️⃣ ( 100 + 6)²
3️⃣ ( 100 - 6 )²
4️⃣ ( 100 - 4)²

Answer 1

Answer:

4️⃣ ( 100 - 4)²

Step-by-step explanation:

(100 - 4)²

using the algebraic identity: (a-b)² = a² - 2ab + b²

(100 - 4)² = 100² - 2(100)(4) + 4²

= 10000 - 800 + 16

= 9216

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Answer 2

Given : (96)²

To Find : Which of the following mathematical expansion formuls would be appropriate to solve (96)²  

1️⃣ ( 100 + 4)²

2️⃣ ( 100 + 6)²

3️⃣ ( 100 - 6 )²

4️⃣ ( 100 - 4)²​

Solution:

1️⃣ ( 100 + 4)²  = (104)²

2️⃣ ( 100 + 6)² = (106)²

3️⃣ ( 100 - 6 )² = (94)²

4️⃣ ( 100 - 4)²​ = (96)²    

Hence  (100 - 4)²​ would be appropriate to solve (96)²

(100 - 4)²​  = 100²  + 4² - 2(100)4

= 10000 + 16 - 800

= 9216

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