Question

Find the product of the following using some quicker grouping

$783\times (-97)+(-783)\times 3$

Answer 1

Given

$783\times (-97)+(-783)\times 3$

Taking $783$ common form both the terms

$\Rightarrow$$783\times (-97)+(-783)\times 3$$=$ $783(-97+(-3\left)\right)$

$\Rightarrow$$783\times (-97)+(-783)\times 3$$=783(-97-3)$

$\Rightarrow$$783\times (-97)+(-783)\times 3$$=789(-100)$

$\therefore$$783\times (-97)+(-783)\times 3$$=-78900$

Hence, the correct answer is $-78900$