Given that x 3 y and 7 x 3 y are like terms- then the sum of these two terms will beA- 4 x3 yB- 8 x3 yC- They cannot be addedD- 11 x 3 y

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Addition and Subtraction of Algebraic Expressions

Given that x ...

Question

Given that $x^{3} y$ and $7 x^{3} y$ are like terms, then the sum of these two terms will be

11 x^{3} y

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8 x^{3} y

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4 x^{3} y

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They cannot be added

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Solution

The correct option is B $8 x^{3} y$

$x^{3} y$ and $7 x^{3} y$ are like terms. Thus, they can be added to give a single term. Now, the coefficients get added up, so the coefficient of the single term will be 1+7 = 8. The variable component of the term remains as it is.
Hence the final term is $8 x^{3} y$

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Given that x3y and 7x3y are like terms, then the sum of these two terms will be

The correct option is B 8x3y ​x3y and 7x3y are like terms. Thus, they can be added to give a single term. Now, the coefficients get added up, so the coefficient of the single term will be 1+7 = 8. The variable component of the term remains as it is. Hence the final term is 8x3y

Given that $x^{3} y$ and $7 x^{3} y$ are like terms, then the sum of these two terms will be