Question

Using suitable identity find the value of 51×49

Answer 1

Answer:

51×49

(50+1)(50-1)

so,

(50)²-1²

2500-1

2499

Answer 2

51 × 49 = 2499

Given :

The expression 51 × 49

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 51 × 49

Step 2 of 2 :

Find the value of the expression

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

$\sf 51 \times 49$

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

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

$\sf = 2500 - 1$

$\sf = 2499$

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