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Q. 3 (a) 110^2. (b) 110^2 - 89^2
Step-by-step explanation:
(a) 110^2
= ( 100 + 10) ^2
= (100^2) +2*100*10 + (10^2). [ ( a + b) ^2)]
= 10000 + 2000 + 100
= 12100
(b) 110^2 - 89^2
=[(100 + 10)^2]. - [(90 - 1) ^2]
= [ 100^2 + 2*100*10 + 10^2] - [90^2-2*90*1 +1^2]
= [ 10000 + 2000+100] - [8100 - 180 +1]
= (12100) - (7920)
= 4180
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