Question

Using the distributive properties, simplify the following:
$975\times 6+975\times 3+975$

Answer 1

Simplifying the given expression

The given expression is $975\times 6+975\times 3+975$
It can be written as $975\times 6+975\times 3+975\times 1$
$=975(6+3+1)$ $\left[Byu\sin gdistributiveproperty:a\times b+a\times c+a\times d=a\times (b+c+d)\right]$
$=975\times 10$
$=9750$
Hence, $975\times 6+975\times 3+975=9750$