(x2y - 3y2 + 5xy2) - (-x2y + 3xy2 - 3y2)Which of the following is equivalent to the expression above?
Question
(x2y - 3y2 + 5xy2) - (-x2y + 3xy2 - 3y2)Which of the following is equivalent to the expression above?
Solution
The expression can be simplified by combining like terms. Here are the steps:
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Distribute the negative sign to each term in the second parentheses: -(x2y) - 3xy2 + 3y2.
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Now, the expression looks like this: (x2y - 3y2 + 5xy2) - (x2y - 3xy2 + 3y2).
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Combine like terms: x2y - x2y - 3y2 + 3y2 + 5xy2 + 3xy2.
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The x2y terms cancel out, and the -3y2 and 3y2 terms also cancel out, leaving you with: 5xy2 + 3xy2.
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Combine these like terms to get: 8xy2.
So, the expression (x2y - 3y2 + 5xy2) - (-x2y + 3xy2 - 3y2) is equivalent to 8xy2.
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