Question

The length of a box is 1 cm more than its width. The hight of the box is 8 cm greater than the width. The dimensions can be represented by x, x+1, and x+8. Multiply the dimensions and find the greatest common factor of the terms

Answers

  1. Answer:
    HCF = x
    Step-by-step explanation:
    Comment
    I’d be surprised is there was any other factor but 1. Oops. See below. There is a common factor other than 1. Whatever the value of x is is a common factor!
    Formula
    (x + 1)x(x + 8)
    Solution
    (x + 1)(x + 8)*x                       Multiply the first 2 factors
    (x^2 + x + 8x + 8)*x              Combine
    (x^2 + 9x + 8)*x                    Remove the brackets
    x^3 + 9x^2 + 8x                    Take out the common factor — x
    x(x^2 + 9x + 8)
    Answer
    Whatever the highest common factor is x which could be just about anything.

    Reply

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