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Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square
Most Upvoted Answer
Add the following algebra expression using both horizontal and vertica...
Horizontal Method:
To add the algebraic expression x^2 - 2xy + 3y^2 to 5y^2 - 3xy - 6x^2, we can follow the horizontal method of addition.
Step 1: Write the two expressions one below the other, aligning the like terms.
```
x^2 - 2xy + 3y^2
+ -6x^2 - 3xy + 5y^2
```
Step 2: Add the coefficients of the like terms.
```
x^2 - 2xy + 3y^2
+ -6x^2 - 3xy + 5y^2
____________________
-5x^2 - 5xy + 8y^2
```
Therefore, the result of adding the given expressions using the horizontal method is -5x^2 - 5xy + 8y^2.
Vertical Method:
To add the algebraic expression x^2 - 2xy + 3y^2 to 5y^2 - 3xy - 6x^2, we can follow the vertical method of addition.
Step 1: Write the two expressions one below the other, aligning the like terms.
```
x^2 - 2xy + 3y^2
+ 5y^2 - 3xy - 6x^2
```
Step 2: Add the coefficients of the like terms vertically.
```
x^2 - 2xy + 3y^2
+ 5y^2 - 3xy - 6x^2
____________________
-5x^2 - 5xy + 8y^2
```
The result obtained using the vertical method is also -5x^2 - 5xy + 8y^2, which matches the result obtained using the horizontal method.
Explanation:
Both the horizontal and vertical methods of addition involve aligning the like terms and adding their coefficients. The horizontal method is performed by writing the expressions side by side, whereas the vertical method is performed by writing the expressions one below the other.
In this particular case, we have the expression x^2 - 2xy + 3y^2 and we want to add it to the expression 5y^2 - 3xy - 6x^2.
By aligning the like terms and adding their coefficients, we obtain the result -5x^2 - 5xy + 8y^2 using both the horizontal and vertical methods. The answer is the same for both methods, indicating that the addition was performed correctly.
Therefore, we can conclude that the horizontal and vertical methods yield the same result when adding the given algebraic expression.
To add the algebraic expression x^2 - 2xy + 3y^2 to 5y^2 - 3xy - 6x^2, we can follow the horizontal method of addition.
Step 1: Write the two expressions one below the other, aligning the like terms.
```
x^2 - 2xy + 3y^2
+ -6x^2 - 3xy + 5y^2
```
Step 2: Add the coefficients of the like terms.
```
x^2 - 2xy + 3y^2
+ -6x^2 - 3xy + 5y^2
____________________
-5x^2 - 5xy + 8y^2
```
Therefore, the result of adding the given expressions using the horizontal method is -5x^2 - 5xy + 8y^2.
Vertical Method:
To add the algebraic expression x^2 - 2xy + 3y^2 to 5y^2 - 3xy - 6x^2, we can follow the vertical method of addition.
Step 1: Write the two expressions one below the other, aligning the like terms.
```
x^2 - 2xy + 3y^2
+ 5y^2 - 3xy - 6x^2
```
Step 2: Add the coefficients of the like terms vertically.
```
x^2 - 2xy + 3y^2
+ 5y^2 - 3xy - 6x^2
____________________
-5x^2 - 5xy + 8y^2
```
The result obtained using the vertical method is also -5x^2 - 5xy + 8y^2, which matches the result obtained using the horizontal method.
Explanation:
Both the horizontal and vertical methods of addition involve aligning the like terms and adding their coefficients. The horizontal method is performed by writing the expressions side by side, whereas the vertical method is performed by writing the expressions one below the other.
In this particular case, we have the expression x^2 - 2xy + 3y^2 and we want to add it to the expression 5y^2 - 3xy - 6x^2.
By aligning the like terms and adding their coefficients, we obtain the result -5x^2 - 5xy + 8y^2 using both the horizontal and vertical methods. The answer is the same for both methods, indicating that the addition was performed correctly.
Therefore, we can conclude that the horizontal and vertical methods yield the same result when adding the given algebraic expression.
Community Answer
Add the following algebra expression using both horizontal and vertica...
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Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square
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Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square.
Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add the following algebra expression using both horizontal and vertical methods did you get the same answer with both methods question is x square minus 2 X Y + 3 y square: 5 ysquare + 3 x y - 6 x square.
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