Q

# Evaluate the following product without multiplying directly: (iii) 104 x 96

2.(iii) Evaluate the following product without multiplying directly:

(iii)    $104 \times 96$

Views

We can rewrite  $104 \times 96$  as

$\Rightarrow 104 \times 96= (100+4)\times (100-4)$

We will use identity

$(x+a)(x-a)=x^2-a^2$

Put  $x =100 \ \ and \ \ a=4$

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

$=10000-16= 9984$

Therefore, value of  $104 \times 96$  is  $9984$

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