Question

What is the factored form of the expression x^2-10xy+24y^2

Answer 1

ANSWER

The fully factored form is


`(x - 6y)(x - 4y)`

Step-by-step explanation

The given expression is


`{x}^(2) - 10xy + 24 {y}^(2)`

We need to split the middle term to obtain


`{x}^(2) - 4xy - 6xy + 24 {y}^(2)`

We factor to obtain,


`x(x - 4y) - 6y(x -4 y)`

We factor further to obtain,


`(x - 6y)(x - 4y)`