Question

Adarsh is asked to find the product of 103 and 98. Which among the following is the most suitable identity to be used by him?

Answer 1

Answer:

10094

Step-by-step explanation:

(x+a)(x+b)=x²+(a+b)x+(ab)

(100+3)(100-2)=(100)²+{3+(-2)}100+(3×-2)

10000+100-6

10094

Answer 2

103 × 98

Identity: (x+a)( x + b) = x² + x ( a + b ) +ab

( 100 + 3 ) ( 100–2 )

( 100 )² + 100 { 3+ (–2 ) }+ 3 × ( –2 )

10000+100 × 1 + (–6)

10000+100–6

10100–6

10094 .

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