Question

Evaluate 98 x 102 using suitable identity

Answer 1

Answer: 9996

Step-by-step explanation:

The answer is 9996

Using the identity (x+a)(x+b) = x2+(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 1002+[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

#SPJ2

Click here to know more

https://brainly.in/question/20568877

https://brainly.in/question/6811948

Answer 2

The answer is 9996

GIVEN:- 98 × 102

TO FIND:- Evaluate

SOLUTION:-

• We need to evaluate the question by using algebraic formulas

According to the question,

98 can be written as 100 - 2

102 can be written as 100 + 2

98 × 102 = 102 × 98

$102 \times 98 \\ = (100 + 2)(100 - 2)$

This is in the form of (a+b)(a-b)

As we know, (a+b)(a-b) = a² - b²

Where a = 100 and b = 2

By putting values in the formula a² - b²

${100}^{2} - {2}^{2} \\ = 10000 - 4 \\ = 9996$

Hence, the answer is 9996

#SPJ2