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If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
  • a)
    5xy + 9yz +3zx + 5x – 4y
  • b)
    5xy – 9yz +3zx – 5x – 4y
  • c)
    5xy + 10yz +3zx + 15x – 4y
  • d)
    5xy + 10yz +3zx + 5x – 6y
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz ...
Understanding the Problem
To solve the problem of adding the given expressions, we need to combine like terms systematically. The expressions to be added are:
1. 7xy + 5yz - 3zx
2. 4yz + 9zx - 4y
3. -3xz + 5x - 2xy
Step-by-Step Addition
Let's break down the addition step-by-step.
1. Combine like terms:
- xy Terms:
7xy - 2xy = 5xy
- yz Terms:
5yz + 4yz = 9yz
- zx Terms:
-3zx + 9zx - 3zx = 3zx
- x Terms:
5x
- y Terms:
-4y (no other y terms to combine)
2. Write the final expression:
Now, we can compile all the results from the like terms we've calculated:
- 5xy (from xy terms)
- 9yz (from yz terms)
- 3zx (from zx terms)
- 5x (from x terms)
- -4y (from y terms)
This results in:
Final Expression:
5xy + 9yz + 3zx + 5x - 4y
Conclusion
The final answer matches option 'A':
5xy + 9yz + 3zx + 5x - 4y
Thus, the correct answer is indeed option 'A'.
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Community Answer
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz ...
Given, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy.
If we add the three expressions, then we need to combine the like terms together.
(7xy – 2xy) + (5yz + 4yz) – 3zx + 9zx – 3xz – 4y + 5x
= 5xy + 9yz + 3zx + 5x – 4y
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Question Description
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