Question

Verify whether a x (b-c) = a x b – a x c for a = (-8), b = 6 and c = (-5)

Answer 1

Answer:

YES, It is equal

Step-by-step explanation:

a*(b-c)=a*b-a*c

-8*(6-(-5)=(-8*6)-(-8*-5)

-8*(6+5)=-48-40

-8*11=-88

-88+-88

so they are equal

Answer 2

Answer:

$\mathfrak{ \large \blue { \underline{ \underline{question}}}} \\ \implies{ \large{a \times ( b - c) = a \times b - a \times c}} \\ { \small\ { \underline{for \: which \: a = ( - 8)and \: b = 6 \: and \: c = ( - 5)}}} \\ \\ \mathfrak { \large \purple { \underline{solution}}} \\ \implies{ \large{ - 8 \times (6 - ( - 5)) = - 8 \times 6 - ( - 8) \times ( - 5)}} \\ \implies{ \large{ - 8 \times 11 = - 48 - 40}} \\ \implies{ \large{ - 88 = - 88}} \\ \\ { \large \red{ \underline{hence \: proved}}}$