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

r - 24

Step-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

Step-by-step explanation:

Use PEMDAS:

PParentheses first

EExponents (ie Powers and Square Roots, etc.)

MDMultiplication and Division (left-to-right)

ASAddition and Subtraction (left-to-right)

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First: the product X · Y:

    use FOIL (a + b)(c + d) = ac + ad + bc + bd

Second: the difference X · Y - Z:

Third: the quotient [X · Y - Z] ÷ X:

cancel r + 2

answer: 45

step-by-step explanation: