Question

Find the product of $95\times 98\times 103$

Answer 1

The product $95\times 98\times 103$ can be rewritten as $(100-5)\times (100-2)\times (100+3)$.

Firstly multiply the first and second term as follows:

$(100-5)(100-2)(100+3)=\left[\right(100\times 100)+(100\times -2)+(-5\times 100)+(-5\times -2\left)\right](100+3)$

$=(10000-200-500+10)(100+3)=\left(9310\right)(100+3)$

Now multiply the resulting expression:

$\left(9310\right)(100+3)=(9310\times 100)+(9310\times 3)=931000+27930=958930$

Hence, $95\times 98\times 103=958930$.