The following is a proof of the algebraic equivalency of (2x)³ and 8x³. fill in each of the blanks with either the statement commutative property or associative property.
(2x)³ =2x∙2x∙2x
=2(x×2)(x×2)x
=2(2x)(2x)x
=2∙2(x×2)x∙x
=2∙2(2x)x∙x
=(2∙2∙2)(x∙x∙x)
=8x³

The reasons for each statement are show below.

Step-by-step explanation:

We need to prove (2x)³ is equivalent to 8x³.

Commutative property: According to the commutative property of multiplication

Associative property: According to the associative property of multiplication

The given expression (2x)³ can be written as

              (Associative property)

                          (Commutative property)

              (Associative property)

                          (Commutative property)

              (Associative property)

Hence proved.

i used to know how to do this in 7th but i forget easily

step-by-step explanation:

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