Question

Factor completely -5x 2 y + 10xy - 15xy 2

Answer 1

-5x^2 y + 10xy - 15xy^2

= -5xy(x - 2 + 3y)

Answer 2

The factorization is given by:

`5xy(-x+2-3y)`

or we may write it as:

`-5xy(x-2+3y)`

Explanation:

We are asked to factor the algebraic expression which is given by:

`-5x^2y+10xy-15xy^2`

To factor a algebraic expression means to represent the expression in the most simplest form.

i.e. if the terms of the expression have a common factor then we take out common the factor and write the remaining expression in the parentheses.

By looking at the expression we observe that the all the three terms of the expression have a common multiple as: 5xy

Hence, the expression could be written as:

`-5x^2y+10xy-15xy^2=5xy(-x+2-3y)`

which could also be written as:

`-5x^2y+10xy-15xy^2=-5xy(x-2+3y)`