Question

verify a ( b+c) = a.b + a.c for the following integers


a= -7, b = 2, c= - 5

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Answer 1

Answer:

${\large{\underline{\sf{Solution-}}}}$

${\longrightarrow{\sf{a(b + c) = a.b + a.c}}}$

• a = -7
• b = 2
• c = -5

By Substituting,

${\longrightarrow{\sf{ - 7 \big \{2 + ( - 5) \big \} = - 7(2) + \big ( - 7 \big )( - 5)}}}$

${\longrightarrow{\sf{ - 7(2 - 5) = - 14 + 35}}}$

${\longrightarrow{\sf{ - 7( - 3) = 21}}}$

${\longrightarrow{\sf{ \pmb{21 = 21}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \therefore{ \underline{ \sf{ \pmb{ \pink{ Hence \: Proved }}}}}}$

Answer 2

Step-by-step explanation:

Answer:

{\large{\underline{\sf{Solution-}}}}Solution−

{\longrightarrow{\sf{a(b + c) = a.b + a.c}}}⟶a(b+c)=a.b+a.c

a = -7

b = 2

c = -5

By Substituting,

{\longrightarrow{\sf{ - 7 \{2 + ( - 5) \} = - 7(2) + ( - 7 )( - 5)}}}⟶−7{2+(−5)}=−7(2)+(−7)(−5)

{\longrightarrow{\sf{ - 7(2 - 5) = - 14 + 35}}}⟶−7(2−5)=−14+35

{\longrightarrow{\sf{ - 7( - 3) = 21}}}⟶−7(−3)=21

{\longrightarrow{\sf{ \pmb{21 = 21}}}}⟶21=2121=21

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \therefore{ \underline{ \sf{ \pmb{ \pink{ Hence \: Proved }}}}}}∴HenceProvedHenceProved