Question

1. |(a×b)×c|=|a×(b×c)|
2.c×(a-b) = c×a - c×b

if a =8,b = (-3) and c =(-1), verify the following ​

Answer 1

Answer:

left hand side.

(a*b)*c right hand side

a(b*c)

=(8*-3)*-1 =8*(-3*-1)

=-24*-1 = 8*+3

=24 =24

LHS= RHS ( PROVED)

Answer 2

Answer:

• 1. True
• 2. True

Step-by-step explanation:

❁ Hello! ❁

1. |(a × b) × c| = |a × (b × c)|

|[8 × (-3)] × (-1)| = |8 × [-3 × (-1)]|

|-24 × (-1)| = |8 × [-3 × (-1)]|

|24| = |8 × [-3 × (-1)]|

24 = |8 × [-3 × (-1)]|

24 = |8 × 3|

24 = 24

2. c × (a - b) = c × a - c × b

(-1) × [8 - (-3)] = (-1) × 8 - (-1) × (-3)

(-1) × (8 + 3) = (-1) × 8 - (-1) × (-3)

(-1) × 11 = (-1) × 8 - (-1) × (-3)

-11 = (-1) × 8 - (-1) × (-3)

-11 = -8 - (-1) × (-3)

-11 = -8 - 3

-11 = -11

Success! ☺️