Question

Evaluate the following identities (999×1001)​

Answer 1

Answer:

999999

Step-by-step explanation:

Answer:-

=1001× 999

=(1000+1)× (1000-1)

=(1000 -1)²

=1000000-1

= 999999

Formulae used :-(a+ b)(a- b)= a²-b²

Answer 2

999 × 1001 = 999999

Given :

The expression 999 × 1001

To find :

The value of the expression using identities

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 999 × 1001

Step 2 of 2 :

Find the value of the expression

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

$\sf 999 \times 1001$

$\sf 1001 \times 999$

$\sf = (1000 + 1) \times (1000 - 1)$

$\sf = {(1000)}^{2} - {1}^{2}$

$\sf = 1000000 - 1$

$\sf = 999999$

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