SAT Exam > SAT Questions > (-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which...
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(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)
Which of the following is equivalent to the expression above?
Which of the following is equivalent to the expression above?
- a)-14y2 - 2xy
- b)-10x2y + 8xy
- c)-10x2y - 14y2 - 2xy
- d)-10x2y - 2xy
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equi...
To subtract these expressions, change the subtraction to addition by changing the signs of all the terms in the second expression, then combine like terms (the terms with the same exponents and bases):
Original expression:
(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)
Change signs of all terms in the second expression:
-5x2y + 3xy - 7y2 - 5x2y + 7y2 - 5xy
Combine like terms: -5x2y - 5x2y = -10x2y
3xy - 5xy = -2xy
-7y2 + 7y2 = 0
Resulting expression:
-10x2y - 2xy
Original expression:
(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)
Change signs of all terms in the second expression:
-5x2y + 3xy - 7y2 - 5x2y + 7y2 - 5xy
Combine like terms: -5x2y - 5x2y = -10x2y
3xy - 5xy = -2xy
-7y2 + 7y2 = 0
Resulting expression:
-10x2y - 2xy
Most Upvoted Answer
(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equi...
Explanation:
Simplify the expression
To simplify the given expression, we need to distribute the negative sign in front of the second set of parentheses.
(-5x^2y + 3xy - 7y^2) - (5x^2y - 7y^2 + 5xy)
= -5x^2y + 3xy - 7y^2 - 5x^2y + 7y^2 - 5xy
= -5x^2y - 5x^2y + 3xy - 5xy - 7y^2 + 7y^2
= -10x^2y - 2xy
Final Answer
Therefore, the expression (-5x^2y + 3xy - 7y^2) - (5x^2y - 7y^2 + 5xy) simplifies to -10x^2y - 2xy, which is equivalent to option 'D'.
Simplify the expression
To simplify the given expression, we need to distribute the negative sign in front of the second set of parentheses.
(-5x^2y + 3xy - 7y^2) - (5x^2y - 7y^2 + 5xy)
= -5x^2y + 3xy - 7y^2 - 5x^2y + 7y^2 - 5xy
= -5x^2y - 5x^2y + 3xy - 5xy - 7y^2 + 7y^2
= -10x^2y - 2xy
Final Answer
Therefore, the expression (-5x^2y + 3xy - 7y^2) - (5x^2y - 7y^2 + 5xy) simplifies to -10x^2y - 2xy, which is equivalent to option 'D'.
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(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equivalent to the expression above?a)-14y2 - 2xyb)-10x2y + 8xyc)-10x2y - 14y2 - 2xyd)-10x2y - 2xyCorrect answer is option 'D'. Can you explain this answer?
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(-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equivalent to the expression above?a)-14y2 - 2xyb)-10x2y + 8xyc)-10x2y - 14y2 - 2xyd)-10x2y - 2xyCorrect answer is option 'D'. 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 (-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equivalent to the expression above?a)-14y2 - 2xyb)-10x2y + 8xyc)-10x2y - 14y2 - 2xyd)-10x2y - 2xyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (-5x2y + 3xy - 7y2) - (5x2y - 7y2 + 5xy)Which of the following is equivalent to the expression above?a)-14y2 - 2xyb)-10x2y + 8xyc)-10x2y - 14y2 - 2xyd)-10x2y - 2xyCorrect answer is option 'D'. Can you explain this answer?.
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