Q. Which expression has the same value as 8x+(−2y) ?−2y+(−8x)2y−8x−8x+(−2y)8x−2y
Identify Given Expression: Identify the given expression and the options to compare.Given expression: 8x+(−2y)Options to compare: A) −2y+(−8x)B) 2y−8xC) −8x+(−2y)D) 8x−2y
Compare with Option A: Compare the given expression with option A.Given expression: 8x+(−2y)Option A: −2y+(−8x)Check if the terms in option A are equivalent to the terms in the given expression.The terms −2y and (−2y) are equivalent, and the terms −8x and 8x are opposites, not equivalent.Therefore, option A is not equivalent to the given expression.
Compare with Option B: Compare the given expression with option B.Given expression: 8x+(−2y)Option B: 2y−8xCheck if the terms in option B are equivalent to the terms in the given expression.The terms 2y and (−2y) are opposites, not equivalent, and the terms −8x and 8x are opposites, not equivalent.Therefore, option B is not equivalent to the given expression.
Compare with Option C: Compare the given expression with option C.Given expression: 8x+(−2y)Option C: −8x+(−2y)Check if the terms in option C are equivalent to the terms in the given expression.The terms −8x and 8x are opposites, not equivalent, and the terms (−2y) and (−2y) are equivalent.Therefore, option C is not equivalent to the given expression.
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