Question

Factor completely 4u^2-28u+49

Answer 1

Answer:

(2u - 7)^2

Step-by-step explanation:

4u^2-28u+49

= (2u)^2 - 2*(2u)*(7)  + 7^2

= (2u - 7)^2

Answer 2

$\bold{Answer}$

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

$\bold{Explanation}$

• $\bold{Factor: \ 4u^2-28u+49}$

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

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

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

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

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

$\boxed{\bold{Eclipsed}}$