Question

403×397
solve it by using identities only
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Answer 1

Answer:

159991

Step-by-step explanation:

403 x 397 = (400 + 3)(400 - 3)

Use (a + b)(a - b) = a^2 - b^2 identity

403 x 397 = 400^2 - 3^2

                  = 160000 - 9

                  = 159991

That's it!!!

Answer 2

403 × 397 = 159991

Given :

The expression 403 × 397

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

403 × 397

Step 2 of 2 :

Find the value of the expression

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

Thus we get

403 × 397

$\sf = (400 + 3) \times (400 - 3)$

$\sf = {400}^{2} - {3}^{2}$

$\sf = 160000 - 9$

= 159991

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