Q:

Factor completely 4u^2-28u+49

Accepted Solution

A:
Assignment: [tex]\bold{Factor \ 4u^2-28u+49}[/tex]<><><><><>Answer: [tex]\boxed{\bold{\left(2u-7\right)^2}}[/tex]<><><><><>Explanation: [tex]\downarrow\downarrow\downarrow[/tex]<><><><><>[ Step One ] Rewrite [tex]\bold{4u^2-28u+49}[/tex][tex]\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}[/tex][ Step Two ] Apply perfect square formulaNote: Perfect Square Formula: [tex]\bold{\left(a-b\right)^2=a^2-2ab+b^2}[/tex][tex]\bold{a=2u,\:b=7}[/tex][tex]\bold{\left(2u-7\right)^2}[/tex]<><><><><><><>[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]