# Example to explain the concept of operations on numbers

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### Example to Explain the concept of Operations on Numbers:

Example to Explain the concept of Operations on Numbers

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? (a)20444 (b) 20434 (c) 20426 (d)20454

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? Solution :-This Question is based on Operations on numbers. Step I :-We can also write 105×105= (100 + 5) ² & 97×97 = (100 -3) ²

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? Step II :- (100+5) ² = (100) ² + (5) ² +2×100×5 [Applying the formula (a + b)² = a² + b² +2ab] = 10000+25+ 1000 = 11025

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? Step III :- (100 -3)² = (100)² + (3)² -2×100×3 [Applying the formula (a - b)² = a² + b² -2ab] = 10000 + 9 - 600 = 9409

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? Step IV :- From step II and Step III (100+5) ² + (100 -3)² = 11025 + 9409 = 20434

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? Quick Review of all the Steps StepI :- 105×105= (100 + 5)² & 97×97 = (100 -3)² Step II :- (100+5) ² = 11025 Step III :- (100 -3)² = 9409 Step IV :-(100+5) ² + (100 -3)² = 20434

### Q.105×105 +97×97 =?:

Q.105×105 +97×97 =? (a)20444 (b) 20434 (c) 20426 (d)20454 Hence, option (b) is the correct answer