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

User Blackjacx
by
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1 Answer

4 votes

Answer: r - 24

Explanation:


X=r+2;Y=2r-9;Z=r^2+17x+30


(x*y-z)/(x)


([(r+2)(2r-9)]-(r^2+17r+30))/(r+2)


((2r^2-9r+4r-18)-(r^2+17r+30))/(r+2)


((2r^2-5r-18)-(r^2+17r+30))/(r+2)


(2r^2-5r-18-r^2-17r-30))/(r+2)

Combine like terms;


(r^2-22r-48)/(r+2)

Solve the quadratic equation;


((r-24)(r+2))/(r+2)

Simplify;


r-24

User Frank Nwoko
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