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The product of 3xy2z and 4x is:
- a)12xyz
- b)12xy2
- c)12x2y2z
- d)12x2yz
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect ...
The product of 3xy2z and 4x is:
⇒ (3xy2z) (4x)
⇒ 3.x.y2.z.4.x
⇒ 12x2y2z
⇒ (3xy2z) (4x)
⇒ 3.x.y2.z.4.x
⇒ 12x2y2z
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Community Answer
The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect ...
Understanding the Problem
To find the product of the expressions 3xy2z and 4x, we start by identifying the components of both expressions.
Components of the Expressions
- The first expression is 3xy2z:
- 3 is the coefficient.
- x, y2 (which means y squared), and z are the variables.
- The second expression is 4x:
- 4 is the coefficient.
- x is the variable.
Calculating the Product
Now, we multiply the coefficients and the variables separately:
1. Multiply the coefficients:
- 3 (from 3xy2z) * 4 (from 4x) = 12.
2. Multiply the variables:
- From 3xy2z, the variables are x, y2, and z.
- From 4x, the variable is x.
- Combining these:
- x (from 3xy2z) + x (from 4x) = x^2 (since we add exponents of the same base).
- y remains as y2 (since we are not multiplying y2 with anything).
- z remains as z.
Final Expression
Putting it all together, we have:
- Coefficient: 12
- Variables: x^2, y^2, z
Thus, the final product is:
12x^2y^2z
Conclusion
Therefore, the correct answer is option 'C' - 12x2y2z.
To find the product of the expressions 3xy2z and 4x, we start by identifying the components of both expressions.
Components of the Expressions
- The first expression is 3xy2z:
- 3 is the coefficient.
- x, y2 (which means y squared), and z are the variables.
- The second expression is 4x:
- 4 is the coefficient.
- x is the variable.
Calculating the Product
Now, we multiply the coefficients and the variables separately:
1. Multiply the coefficients:
- 3 (from 3xy2z) * 4 (from 4x) = 12.
2. Multiply the variables:
- From 3xy2z, the variables are x, y2, and z.
- From 4x, the variable is x.
- Combining these:
- x (from 3xy2z) + x (from 4x) = x^2 (since we add exponents of the same base).
- y remains as y2 (since we are not multiplying y2 with anything).
- z remains as z.
Final Expression
Putting it all together, we have:
- Coefficient: 12
- Variables: x^2, y^2, z
Thus, the final product is:
12x^2y^2z
Conclusion
Therefore, the correct answer is option 'C' - 12x2y2z.
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Question Description
The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer?.
The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of 3xy2z and 4x is:a)12xyzb)12xy2c)12x2y2zd)12x2yzCorrect answer is option 'C'. Can you explain this answer?.
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