Question

Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)

Answer 1

To find the equivalent expression of 17x−32x you need to find the Greatest Common Factors of 17x−32x. 

Factors of 17x. Note 17 is a prime number.
1, 17, X  

Factors of 32x
1, 2, 4, 8, 16, 32, X

Greatest Common Factor of 17x and 32x is x

So now factor out x from 17x - 32x
$\frac{17x - 32x}{x} = 17 - 32 = x(17 - 32)$

Answer = x(17 - 32)