Question

Verify – 3 × [(-4) – 2] = [(- 3) × (- 4)] – [(- 3) × 2]. Is-multiplication distribute over subtraction of integers ? Write your observations.

Answer 1

– 3 × [(- 4) – 2] = [(- 3) × (- 4)] – [(-3) × 2] 

– 3 × [- 4 – 2] = [3 × 4] – [- (3 × 2)] 

– 3 × (-6) = 12 – (-6) 

3 × 6 = 12 + 6 

18 = 18 

L.H.S. = R.H.S. 

Yes it is multiplication distribute over subtraction of integers. 

That is a × (b – c) = (a × b) – (a × c) 

Yes, it exists in integers.