Given: X = r + 2, Y = 2 r - 9, and Z = r2 + 17 r + 30. Simplify [X · Y - Z] ÷ X.

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01-02-2018
Mathematics

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Given: X = r + 2, Y = 2 r - 9, and Z = r2 + 17 r + 30. Simplify [X · Y - Z] ÷ X.

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alenagarza697 alenagarza697 · Answer 1 · 2018-02-01T20:51:55+01:00

alenagarza697 alenagarza697

01-02-2018

substituting the given formulas: (r+2)(2r-9)-(r^2+17r+30)/r+2
1. {multiply} (r+2)(2r-9) = 2r^2-5r-18
2. 2r^2-5r-18 - (r^2+17r+30) {distribute the negative sign} -(r^2+17r+30) becomes
-r^2-17r-30
3. {combine like terms} 2r^2-5r-18-r^2-17r-30 = r^2-22r-48
4. r^2-22r-48/r+2 (simplified)

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