Given:
[tex]50u^2-18[/tex]To factor the given equation completely, we factor out common term 2 first:
[tex]2(25u^2-9)[/tex]We can also rewrite this into:
[tex]2((5u)^2-3^2)[/tex]For (5u)^2-3^2, we apply Difference of Two Squares Formula:
[tex]x^2-y^2=(x+y)(x-y)[/tex]where:
x=5u
y=3
So,
[tex](5u)^2-3^2=(5u+3)(5u-3)[/tex]Therefore, the answer is:
[tex]2(5u+3)(5u-3)[/tex]