Question

Factor completely 4u^2-28u+49

Answer 1

`\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}}`

Answer 2

(2u - 7)^2

Explanation:

4u^2-28u+49

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

= (2u - 7)^2