Question

❣️ HELLO EVERYONE ❣️

Question:-) evaluate the following products without multiplying directly:-*

(I) 103×107

(ii) 95×96


❣️please answer this question proper explanation❣️
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Answer 1

Answer:

Hi buddy

Step-by-step explanation:

(i)103×107

(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

ii)95x96

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120