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(x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)
Which of the following is equivalent to the expression above?
Which of the following is equivalent to the expression above?
- a)4x2y2
- b)8xy2 − 6y2
- c)2x2y + 2xy2
- d)2x2y + 8xy2 − 6y2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
(x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which o...
Only like terms, with the same variables and exponents, can be combined to determine the answer as shown here:
(x2y - 3y2 + 5xy2) - {-x2y + 3xy2 - 3y2)
= (x2y - (-x2y)) + (-3y2 - (-3y2)) + (5xy2 - 3xy2)
= 2x2y + 0 + 2xy2
= 2x2y + 2xy2
Choices A, B, and D are incorrect and are the result of common calculation errors or of incorrectly combining like and unlike terms.
(x2y - 3y2 + 5xy2) - {-x2y + 3xy2 - 3y2)
= (x2y - (-x2y)) + (-3y2 - (-3y2)) + (5xy2 - 3xy2)
= 2x2y + 0 + 2xy2
= 2x2y + 2xy2
Choices A, B, and D are incorrect and are the result of common calculation errors or of incorrectly combining like and unlike terms.
Most Upvoted Answer
(x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which o...
Given Expression:
(x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2)
Solution:
Distribute the negative sign in the second expression:
(x^2y - 3y^2 + 5xy^2) + (x^2y - 3xy^2 + 3y^2)
Combine like terms:
x^2y + x^2y - 3y^2 + 5xy^2 - 3xy^2 + 3y^2
2x^2y + 2xy^2
Final Equivalent Expression:
2x^2y + 2xy^2
Therefore, the expression (x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2) is equivalent to 2x^2y + 2xy^2, which matches option C.
(x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2)
Solution:
Distribute the negative sign in the second expression:
(x^2y - 3y^2 + 5xy^2) + (x^2y - 3xy^2 + 3y^2)
Combine like terms:
x^2y + x^2y - 3y^2 + 5xy^2 - 3xy^2 + 3y^2
2x^2y + 2xy^2
Final Equivalent Expression:
2x^2y + 2xy^2
Therefore, the expression (x^2y - 3y^2 + 5xy^2) - (-x^2y + 3xy^2 - 3y^2) is equivalent to 2x^2y + 2xy^2, which matches option C.
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(x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about (x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer?.
(x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about (x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (x2y −3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)Which of the following is equivalent to the expression above?a)4x2y2b)8xy2 − 6y2c)2x2y + 2xy2d)2x2y + 8xy2 − 6y2Correct answer is option 'C'. Can you explain this answer?.
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