Question

Evaluate the following products without multiplying directly: 105 × 96​

Answer 1

Answer:

$(100 + 5)(100 - 5) = 1000 - 25 = 788954455$

Answer 2

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QUESTION :- Evaluate the following products without multiplying directly : 105 × 96.

ANSWER :-

$(100 + 5)(100 - 4)$

We can see that it is having identity,

(x+a)(x-b) = x² + (a-b)x - ab

In which a = 5 and b = -4

$= {100}^{2} + (5 - 4)100 - 5 \times ( - 4)$

$= 10000 + (1)100 + 20$

$= 10000 + 100 + 20$

$= 10120$

It is a simple calculation we just have to use identity, put values in it and solve it.