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)`