Respuesta :

Answer:

[tex] \ \boxed{(x - 3)(x - 10)}[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 13x + 30[/tex]

Write -13x as a difference

[tex] {x}^{2} - 3x - 10x + 30[/tex]

Factor out x from the expression

[tex]x(x - 3) - 10x + 30[/tex]

Factor out -10 from the expression

[tex]x(x - 3) - 10(x - 3)[/tex]

Factor out x-3 from the expression

[tex](x - 3)(x - 10)[/tex]

Hope I helped!

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