Question

Evaluate (198*202) using identity

Answer 1

(198×202) = (200-2)(200+2)

using identity: (a+b)(a-b)= a2-b2

now

(200-2)(200+2)=(200)^2 -(2)^2

=40000-4

= 39996

here is your answer

Answer 2

198 × 202 = 39996

Given :

The expression 198 × 202

To find :

The value of the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 198 × 202

Step 2 of 2 :

Find the value of the expression

We use the identity

a² - b² = ( a + b ) ( a - b )

$\sf 198 \times 202$

$\sf = (200 - 2) \times (200 + 2)$

$\sf = (200 + 2) \times (200 - 2)$

$\sf = {200}^{2} - {2}^{2}$

$\sf = 40000 - 4$

$\sf = 39996$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280