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Factor the expression completely.

70, x, minus, 80
70x−80

1 answer

To factor the expression \( 70x - 80 \) completely, we first look for the greatest common factor (GCF) of the coefficients, which are 70 and 80.

  1. Find the GCF:

    • The factors of 70 are: \( 1, 2, 5, 7, 10, 14, 35, 70 \)
    • The factors of 80 are: \( 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 \)
    • The common factors are \( 1, 2, 5, 10 \), and the greatest among them is \( 10 \).

  2. Factor out the GCF: \[ 70x - 80 = 10(7x - 8) \]

So, the completely factored form of \( 70x - 80 \) is: \[ 10(7x - 8) \]