Question

Using special products, find the value of each of the following:
1. 105 into 92 ​

Answer 1

Answer:

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Step-by-step explanation:

(x+a) (x+b) = x²+x(a+b) + ab.

write 105 as (100+5) and also 97 as (100-3).

so,

     x= 100, a= 5 and b= -3

[Algebraic Identity]

 {100+5} {100+(-3)} = 100²+100(5-3)+5×(-3)

                              = 10000+500-300-15

                              = 10185

so, 105×97 = 10185

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Answer 2

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