If a = 3, b = 5, c = 10. Find the value of a (b + c) = a × b + ax c.
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If a = 3, b = 5, c = 10. Find the value of a (b + c) = a × b + a × c.
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Before, finding the answer. Let's find out on how we can find the answer.
- Here, we have to first write the values of variables with the given numbers.
- Now, we have to find the value of the LHS :
⇒ a (b + c)
- Then, we have to find the value of the RHS :
⇒ a × b + a × c
- If both the answer are same, then the answer is correct.
__________
Given :
- a (b + c) = a × b + a × c
- A = 3
- B = 5
- C = 10
To find :
- the value
Solution :
L.H.S = a (b + c)
= 3 (5 + 10)
= 3 × (15)
= 45
R.H.S = a × b + a × c
= 3 × 5 + 3 × 10
= 15 + 30
= 45
∴ Value is 45.
⇒ Since,
- L.H.S = 45
- R.H.S = 45
Hence, L.HS = R.HS
- The question follows distributive property. Thus it is the proof of distributive property.
- LHS = Left Hand side of Equation
- RHS = Right Hand side of Equation
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