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