Question

evaluate (399)² using a suitable identity

Answer 1

(400-1)^2= 160000-2 x 400 x 1+1
160000-800+1
(400-1)^2= 169201

Answer 2

(399)² = 159201

Given :

The given expression (399)²

To find :

The value of the expression using a suitable identity

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (399)²

Step 2 of 2 :

Find the value of the expression

We use the formula

(a - b)² = a² - 2ab + b²

(399)²

= ( 400 - 1 )²

= 400² - 2 × 400 × 1 + 1²

= 160000 - 800 + 1

= 159201

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