Assignment: [tex]\bold{Factor \ 4u^2-28u+49}[/tex]
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Answer: [tex]\boxed{\bold{\left(2u-7\right)^2}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ 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 formula
Note: 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]
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[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]
