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Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X. -r - 24 r - 24 2r2 -...
4 months ago
Q:
Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X. -r - 24 r - 24 2r2 - 6r - 33 2r2 + 6r + 33
Accepted Solution
A:
Answer:r - 24Step-by-step explanation:[X · Y - Z] = (r + 2)(2r - 9)] - (r^2 + 17r + 30)= (2r^2 + 4r - 9r - 18 ) - r^2 - 17r - 30= 2r^2 - 5r - 18 - r^2 - 17r - 30= r^2 - 22r - 48= (r +2)(r - 24)so[X · Y - Z] / X= [(r +2)(r - 24)] / (r + 2)= r - 24