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Evaluate: 94xx106...

Evaluate: `94xx106`

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To evaluate \( 94 \times 106 \), we can use the difference of squares method. Here’s the step-by-step solution: ### Step 1: Rewrite the numbers We can express \( 94 \) and \( 106 \) in terms of \( 100 \): \[ 94 = 100 - 6 \quad \text{and} \quad 106 = 100 + 6 \] ### Step 2: Apply the difference of squares formula Using the difference of squares formula, which states that \( (a - b)(a + b) = a^2 - b^2 \), we can set \( a = 100 \) and \( b = 6 \): \[ 94 \times 106 = (100 - 6)(100 + 6) = 100^2 - 6^2 \] ### Step 3: Calculate \( 100^2 \) and \( 6^2 \) Now we calculate: \[ 100^2 = 10000 \quad \text{and} \quad 6^2 = 36 \] ### Step 4: Subtract the squares Now, we subtract \( 6^2 \) from \( 100^2 \): \[ 10000 - 36 = 9964 \] ### Final Answer Thus, the value of \( 94 \times 106 \) is: \[ \boxed{9964} \] ---
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RS AGGARWAL-SQUARES-EXERCISE 3B
  1. Which of the are square of even number ? 196 441 900 625 32...

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  2. Without adding, find the sum: (1+3+5+7+9+11+13) (1+3+5+7+9+11+13+1...

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  3. Express 81 as the sum of 9 odd numbers.

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  4. Express 100 as the sum of 10 odd numbers.

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  5. Write the Pythagorena triplet whose smallest number is 6 14 16 ...

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  6. Evalute: (38)^(2) - (37)^(2) (75)^(2)-(74)^(2) (92)^(2) -(91)^(2...

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  7. Using the formula (a+b)^(2) = (a^(2) + 2ab+b ^(2)), evaluate: (310)^...

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  8. Evaluate: 69xx71

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  9. Evaluate: 94xx106

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  10. Evaluate: 88xx92

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  11. Evaluate: 78xx82

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  12. Fill in the blanks: The square of an even number is ………

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  13. Fill in the blanks: The square of an odd number is ……….

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  14. Fill in the blanks: The square of a proper fraction is ……. than the ...

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  15. Fill in the blanks: n^(2)= the sum of first n……….natural numbers.

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  16. Write (T) for true and (F) for false for each of the statements given ...

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  17. Write (T) for true and (F) for false for each of the statements given ...

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  18. Write (T) for true and (F) for false for each of the statements given ...

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  19. Write (T) for true and (F) for false for each of the statements given ...

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  20. Write (T) for true and (F) for false for each of the statements given ...

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