Which two expressions are equivalent?Select one:9(6 + x) and 9 ∙ 6 + 9 ∙ xhighlight_offx + (8∙9) and (x + 8) ∙ 9highlight_off8 ∙ 6 ÷ x and 8 ∙ x ÷ 6highlight_off6 ∙ x + 3 and 6 ∙ (x + 3)highlight_off
Question
Which two expressions are equivalent?Select one:9(6 + x) and 9 ∙ 6 + 9 ∙ xhighlight_offx + (8∙9) and (x + 8) ∙ 9highlight_off8 ∙ 6 ÷ x and 8 ∙ x ÷ 6highlight_off6 ∙ x + 3 and 6 ∙ (x + 3)highlight_off
Solution
The two equivalent expressions are 9(6 + x) and 9 ∙ 6 + 9 ∙ x.
Here's why:
According to the distributive property of multiplication over addition, multiplying a number by the sum of two others is the same as multiplying the number by each of the others and then adding the results.
So, for the expression 9(6 + x), you can distribute the 9 to both the 6 and the x to get 96 + 9x, which is the same as the second expression.
Therefore, 9(6 + x) and 9 ∙ 6 + 9 ∙ x are equivalent.
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