Question

4. Using a suitable identity, evaluate 49 x 51.​

Answer 1

$\huge\mathcal\pink{Hey!}$

$49 \times 51 \\ (50 - 1)(50 + 1) \\ {50}^{2} - 1 \\ 2500 - 1 \\ 2499$

Answer 2

49 × 51 = 2499

Given :

The expression 49 × 51

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 49 × 51

Step 2 of 2 :

Find the value of the expression

Use the formula a² - b² = (a + b) (a - b)

$\sf 49 \times 51$

$\sf = 51 \times 49$

$\sf = (50 + 1) \times (50 - 1)$

$\sf = {50}^{2} - {1}^{2}$

$\sf = 2500 - 1$

$\sf = 2499$

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