Question

Using suitable identity find:
[i] 96²
[ii] 97 × 103
[iii] 1007²

Answer 1

i) 9216

ii) 9991

iii) 1014049

Step-by-step explanation:

i) 96²

=> (90+6)²

=> using id - ( a+b)² = a²+2ab+b²

=> a= 90 ; b = 6

=> 90²+2(90)(6)(6)²

=> 8100+1080+36

=> 9216

ii) 97×103

=> (100-3)(100+3)

=> (a+b)(a-b) = a²-b²

=> a = 100; b = 3

=> 100²-3²

=> 10000-9

=> 9991

iii) 1007²

=> ( 1000+7)²

=> (a+b)²= a²+2ab+b²

=> a= 1000 ; b = 7

=> 1000²+2(1000)(7)(7)²

=> 1000000+14000+ 49

=>1014049