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If a = -25, b = 20 cm and c = -10, verify that:
(i) a + (b + c) = (a + b) + c
(ii) a × (b + c) = a × b + a × c
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Given :
- a = -25
- b = 20
- c = -10
To verify :
- a + (b + c) = (a + b) + c
- a × (b + c) = a × b + a × c
Solution :
⇒ Let's put the values of variables.
→ a + (b + c) = (a + b) + c
→ -25 + (20 + -10) = (-25 + 20) + -10
⇒ Let's solve.
→ -25 + (20 + -10) = (-25 + 20) + -10
→ -25 + (10) = (-5) + -10
→ -15 = -15
- Therefore, LHS = RHS.
- Hence, verified.
⇒ Let's put the values of variables.
→ a × (b + c) = a × b + a × c
→ -25 × (20 + -10) = -25 × 20 + -25 × -10
⇒ Let's solve.
→ -25 × (20 + -10) = -25 × 20 + -25 × -10
→ -25 × (10) = -500 + -25 × -10
→ -25 × 10 = -500 + -25 × -10
→ -25 × 10 = -500 + 250
→ -250 = -250
- Therefore, LHS = RHS.
- Hence, verified.
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