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

    (ii)    95 \times 96

Answers (1)

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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