evaluate the following products without multiplying directly
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I know the answer. u will have to do it as 100×2×100×3
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(i) 103 × 102
= (100+3)(100+2)
using identity (x+a)(x+b)=x²+(a+b)x+ab
where x=100,a=3 and b= 2
= 100²+(3+2)100+(3×2)
= 10000+500+6
= 10506
(ii) 94 × 106
= (100-6)(100+6)
using identity (a-b)(a+b)=a²-b²
where a= -6 and b=6
= (-6)² - (6)²
= 36 - 36
= 0
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