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  • 21-01-2019
  • Mathematics
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what is the factored form of the expression x^2-10xy+24y^2

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 21-01-2019
ANSWER

The fully factored form is

[tex](x - 6y)(x - 4y)[/tex]

EXPLANATION

The given expression is

[tex] {x}^{2} - 10xy + 24 {y}^{2} [/tex]

We need to split the middle term to obtain

[tex] {x}^{2} - 4xy - 6xy + 24 {y}^{2} [/tex]

We factor to obtain,

[tex]x(x - 4y) - 6y(x -4 y)[/tex]

We factor further to obtain,

[tex](x - 6y)(x - 4y)[/tex]
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