Question

Which property was applied to create this equivalent expression? 7 x (5 6 x) right-arrow (7 x 5) 6 x the commutative property only the associative property only the distributive property only both the commutative property and the associative property

Answer 1

The option (B) is correct. Associative property was applied to create the given expression.

Given expression is 7x+(5+6x) rightarrow (7x+5)+6x.

Firstly, check the given expression by commutative property.

The commutative property of addition is a+b=b+a and the commutative property of multiplication is a×b=b×a.

The commutative property didn't satisfy the given expression.

Now, check the given expression by associative property.

The associative property of addition is (a+b)+c=a+(b+c) and the commutative property of multiplication is (a×b)×c=a×(b×c).

The associative property of addition satisfy the given expression.

Further, check the given expression by distributive property.

The distributive property is a×(b+c)=ab+bc.

The distributive property didn't satisfy the given expression.

Hence, the given expression 7x+(5+6x) rightarrow (7x+5)+5x s created by the associative property.

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Answer 2

Step-by-step explanation:

7×5×6×x

7×5×6×392

210×392

82320