Question

Write a mathmatical proof showing the algebraic equivalency of the following equation: (2x)(3y)(4z) = 24xyz

Answer 1

Answer:

We have to evaluate

→ (2x)×(3y)×(4z)

Using Commutativity property of numbers,which states ----a b=ba

  → (x×2×3×y)×(4z)

 →x×(6y)×(4z)

 →x ×(y×6×4×z)----Again used Commutative property

 →x × (y×24×z)

Using associativity property of numbers,which states

  ---a×(b×c)=(a×b)×c=(a×c)×b

→x ×(24 yz)--------(1)

Using commutative Property between x and 24 ,that is

(x)×(24)=24 x

Expression 1, can be written as

→24 xyz

Hence Proved

Answer 2

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