Question
\( 1 \leftarrow \left\lvert\, \begin{array}{l}\text { Subtract. } \\ (4 x+6 x y-5)-(-3 x+2 x y+2) \\ \\ \begin{array}{l}(4 x+6 x y-5)-(-3 x+2 x y+2)=\square \\ (\text { Simplify your answer. })\end{array} \\ \end{array}\right. \)
Ask by Santiago Davey. in the United Arab Emirates
Mar 16,2025
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Tutor-Verified Answer
Answer
\( 7x + 4xy - 7 \)
Solution

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The Deep Dive
To solve the expression, first, distribute the negative sign to the terms in the parentheses: \((4x + 6xy - 5) - (-3x + 2xy + 2) = 4x + 6xy - 5 + 3x - 2xy - 2\). Now, combine like terms: - For \(x\) terms: \(4x + 3x = 7x\) - For \(xy\) terms: \(6xy - 2xy = 4xy\) - For constant terms: \(-5 - 2 = -7\) Putting it all together, the simplified answer is: \(\square = 7x + 4xy - 7\).