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Factor completely 4u^2-28u+49

2 Answers

3 votes


\bold{Answer}


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


\bold{Explanation}


  • \bold{Factor: \ 4u^2-28u+49}


\bold{---------------------}


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


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


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


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


\boxed{\bold{Eclipsed}}

User Jaydeep Rajput
by
8.5k points
7 votes

Answer:

(2u - 7)^2

Explanation:

4u^2-28u+49

= (2u)^2 - 2*(2u)*(7) + 7^2

= (2u - 7)^2

User Jhorapb
by
8.7k points

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