Question

Factor completely 4u^2-28u+49

Answer 1

Assignment:
`\bold{Factor \ 4u^2-28u+49}`

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Answer:
`\boxed{\bold{\left(2u-7\right)^2}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Rewrite
`\bold{4u^2-28u+49}`

`\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}`

[ Step Two ] Apply perfect square formula

Note: Perfect Square Formula:
`\bold{\left(a-b\right)^2=a^2-2ab+b^2}`

`\bold{a=2u,\:b=7}`

`\bold{\left(2u-7\right)^2}`

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`\bold{\rightarrow Rhythm \ Bot \leftarrow}`