Question

Evaluate the following products without multiplying directly:
(i) 103×107
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Answer 1

$\huge\red{ꪖꪀᦓ᭙ꫀ᥅}$

$103×107= (100+3)×(100+7)$

Using identity, $[(x+a)(x+b) = x2+(a+b)x+ab$

Here, x = 100

a = 3

b = 7

We get, $103×107 = (100+3)×(100+7)$

$= (100)2+(3+7)100+(3×7))$

$= 10000+1000+21$

$= 11021$

Answer 2

Answer:

11021

Explanation:

103=100+3

107=100+7

(100+3)(100+7)

(x+a)(x+b)

x²+(a+b)x+ab

100²+(3+7)100+3*7

10000+10*100+21

10000+1021

11021

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