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Which law of real numbers is demonstrated by c(x+y=y+xc)?

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Answer and explanation

Correct answer: Commutative law

In this equation, interchanging x and y does not change the sum: x+y=y+x. Therefore, it represents the commutative law of addition. The distributive law involves multiplying over a sum, such as x(y+z)=xy+xz. In an exam, if changing the order of terms leaves the result unchanged, identify the commutative law.

Related tags

PolynomialsReal NumbersCommutative LawAlgebraic LawsOperations

Frequently asked questions

What is the correct answer to this question?

Commutative law

Why is this the correct answer?

In this equation, interchanging x and y does not change the sum: x+y=y+x. Therefore, it represents the commutative law of addition. The distributive law involves multiplying over a sum, such as x(y+z)=xy+xz. In an exam, if changing the order of terms leaves the result unchanged, identify the commutative law.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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