Question

Fill in the blank :

$.....\times [4+(-2\left)\right]=(-19)\times 4+(-19)\times (-2)$

• A. $(-2)$
• B. $4$
• C. $19$
• D. $(-19)$

Answer 1

The correct option is D $(-19)$

$(a\times b)+(a\times c)=a\times (b+c)$ is the distributive property over addition for integers.
$\therefore (-19)\times 4+(-19)\times (-2)=(-19)\times [4+(-2\left)\right]$.