Respuesta :

[tex]\bold{Answer}[/tex]

[tex]\boxed{\bold{\left(2u-7\right)^2}}[/tex]

[tex]\bold{Explanation}[/tex]

  • [tex]\bold{Factor: \ 4u^2-28u+49}[/tex]

[tex]\bold{---------------------}[/tex]

  • [tex]\bold{Rewrite \ 4u^2-28u+49: \ \left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}[/tex]

[tex]\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}[/tex]

  • [tex]\bold{Apply \ Perfect \ Square \ Formula \ \left(a-b\right)^2=a^2-2ab+b^2: \ a=2u,\:b=7}[/tex]

[tex]\bold{\left(2u-7\right)^2}[/tex]

[tex]\boxed{\bold{Eclipsed}}[/tex]

choixongdong

Answer:

(2u - 7)^2

Step-by-step explanation:

4u^2-28u+49

= (2u)^2 - 2*(2u)*(7)  + 7^2

= (2u - 7)^2

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