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22) \( 7 x y-49 x+5 y-35 \)

Ask by Elliott Kelley. in the United States
Mar 12,2025

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The expression factors to \( (7x + 5)(y - 7) \).

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To factor the expression \( 7xy - 49x + 5y - 35 \), you can group the terms strategically. Start by grouping the first two and the last two terms: \( (7xy - 49x) + (5y - 35) \). Now factor out the common terms from each group: \( 7x(y - 7) + 5(y - 7) \). You can now see that \( (y - 7) \) is a common factor. The expression can be further factored as \( (y - 7)(7x + 5) \). So, the completely factored form of the expression is \( (y - 7)(7x + 5) \).

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