Question

xpression completely.
70x - 80
attempt 2 out of 2

Explanation:

Step1: Find the GCD of 70 and 80

The greatest common divisor (GCD) of 70 and 80 is 10, since the factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70 and the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. The largest common factor is 10.

Step2: Factor out the GCD

We factor out 10 from each term in the expression \(70x - 80\). Using the distributive property \(ab+ac = a(b + c)\) (in reverse, \(ab - ac=a(b - c)\)), we have:
\(70x-80=10\times7x-10\times8 = 10(7x - 8)\)

Answer:

\(10(7x - 8)\)