Question

what is 10xy - 15y in factored form

Answer 1

The factored form of 10xy - 15y is 5y(2x - 3)

Solution:

Given that, we have to write the given expression in factored form

Given expression is:

10xy - 15y

To find the factored form, let us first find the greatest common factor of 10 and 15

The factors of 10 are: 1, 2, 5, 10

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 5

Thus, factor out 5 from given expression

$10xy - 15y = 5(2xy - 3y)$

Now factor out the common term "y"

$10xy - 15y = 5(2xy - 3y) = 5y(2x-3)\\\\10xy - 15y = 5y(2x-3)$

Thus the factored form is found