Question

If a = 3, b = -2, c = -1, verify that
(a) b × (a + c) = b × a + b × c
(b) b × c × a = a × b × c = c × a × b

Answer 1

Hey There !

Here's The Answer

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Given :

• a = 3
• b = -2
• c = -1

Properties Used :

• BODMAS - Div/Multiply then add/sub.
• Commutative property of multiplication, i.e. ( a × b = b × a )

1. b × (a + c) = b × a + b × c

• Taking L.H.S.

=> b × ( a + c )

=> -2 × ( 3 - 1 )

=> -2 × ( 2 )

=> - 4

• Taking R.H.S.

=> b × a + b × c

=> ( b × a ) + ( b × c )

=> ( -2 × 3 ) + ( -2 × -1 )

=> -6 + 2

=> -4

• Hence, L.H.S. = R.H.S.

2. b × c × a = a × b × c = c × a × b

• Taking L.H.S.

=> b × c × a

=> -2 × -1 × 3

=> 2 × 3

=> 6

• Taking Mid.

=> a × b × c

=> 3 × -2 × -1

=> -6 × -1

=> 6

• Taking R.H.S.

=> c × a × b

=> -1 × 3 × -2

=> -3 × -2

=> 6

• L.H.S. = MID = L.H.S.

• Hence verified

Hope It Helps.