Question

Examine the expression. 17x – 34xy

Which is an equivalent expression?

17x (1 + y)

17x (1 – 2y)

17x (1 – y)

17x (1 + 2y)

Answer 1

B. 17x(1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x(1-2y)

Because, 17x times 1 is 17x but 17x times -2y would be -32xy.

Answer 2

The answer is
`17x(1-2y)`

Explanation:

In this case, we have to find the common factor of both terms.

The common factor between the coefficients is 17 because 34=17*2.

Then, the common factor between the variables is "x" because it is in both terms.

Finally the common factor is "17x". With this factor, we have to find the multiplies to get the original terms.

First term:

17x*1=17x

Second term:

17x*(-2y)=-34xy

Finally, the equivalent expression is:

`17x(1-2y)`