Question

Factor completely.50u^2 - 18

Answer 1

Given:

$50u^2-18$

To factor the given equation completely, we factor out common term 2 first:

$2(25u^2-9)$

We can also rewrite this into:

$2((5u)^2-3^2)$

For (5u)^2-3^2, we apply Difference of Two Squares Formula:

$x^2-y^2=(x+y)(x-y)$

where:

x=5u

y=3

So,

$(5u)^2-3^2=(5u+3)(5u-3)$

Therefore, the answer is:

$2(5u+3)(5u-3)$