Class 7 Exam  >  Class 7 Questions  >  Add the following algebra expression using bo... Start Learning for Free
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.
Community Answer
Add the following algebra expression using both horizontal and vertica...
Yes
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
Explore Courses for Class 7 exam

Top Courses for Class 7

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
Question Description
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.
Solutions 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 in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of 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 defined & explained in the simplest way possible. Besides giving the explanation of 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, a detailed solution 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 has been provided alongside types of 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 theory, EduRev gives you an ample number of questions to practice 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 tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev