Question

Evaluate (98 x 102) by using suitable identities.

Answer 1

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

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

= 10000+(0)100−4

= 9996

The answer is 9996

Answer 2

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

• (98) × (102)
• (100 - 2) × (100 + 2)
• 10000 - 4
• 9996

identity used here is :

$(a + b) \times (a - b) = (a {}^{2} - b {}^{2} )$

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