# 2.(ii) Evaluate the following product without multiplying directly:    (ii)    $95 \times 96$

We can rewrite  $95 \times 96$  as

$\Rightarrow 95 \times 96= (100-5)\times (100-4)$

We will use identity

$(x+a)(x+b)=x^2+(a+b)x+ab$

Put  $x =100 , a=-5 \ \ and \ \ b = -4$

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

$=10000-900+20= 9120$

Therefore, value of  $95 \times 96$  is  $9120$

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