Question

which of the following is a factor of 10xy − 5y 18x − 9? 2x − 1 4x2 − 4x 1 4x2 − 2x 1 none of the above

Answer 1

Option (1) is correct.

One factor of given expression 10xy − 5y + 18x − 9 is ( 2x - 1)

Explanation:

Given : expression 10xy − 5y + 18x − 9

We have to find the factor of given expression 10xy − 5y + 18x − 9

We find the factors using grouping of terms.

Consider the given expression 10xy − 5y + 18x − 9

We group together x terms together, rearrange , we get,

⇒ 10xy + 18x − 5y− 9

Taking 2x common from first two term and -1 common from last two terms.

⇒ 2x(5y + 9) −1( 5y + 9)

Taking (5y + 9) , we get,

⇒ (5y + 9) ( 2x - 1)

Thus, one factor of given expression 10xy − 5y + 18x − 9 is ( 2x - 1)

Answer 2

Since 10xy-5y=5y(2x-1), (that is because if we multiply 2x by 5y, and -1 by 5y, we have exactly 10xy-5y), the only factor is 2x-1.