Q. Which pair of expressions below are equivalent?r+r+r+r+s and 5rs4(8r) and 12r4r+8s and 8s+4r9r+9r and 81r
Compare Expressions: Compare the first pair of expressions.The first expression is r+r+r+r+s, which simplifies to 4r+s.The second expression is 5rs.These two expressions are not equivalent because 4r+s does not equal 5rs.
Compare Expressions: Compare the second pair of expressions.The first expression is 4(8r), which simplifies to 32r.The second expression is 12r.These two expressions are not equivalent because 32r=12r.
Equivalent Expressions: Compare the third pair of expressions.The first expression is 4r+8s.The second expression is 8s+4r.These two expressions are equivalent because addition is commutative, meaning that the order of the terms does not matter.
Compare Expressions: Compare the fourth pair of expressions.The first expression is 9r+9r, which simplifies to 18r.The second expression is 81r.These two expressions are not equivalent because 18r does not equal 81r.
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