Question

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

Answer 1

ANSWER

The fully factored form is

$(x - 6y)(x - 4y)$

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,

$(x - 6y)(x - 4y)$