Question

Factor the expression shown below completely. 18x^2 -60x +50

Answer 1

For this case we have the following polynomial:
 $18x ^ 2 -60x +50$
 We do common factor 2:
 $2 (9x ^ 2 -30x + 25)$
 We now factor the expression into parentheses.
 We have then:
 $2 (3x-5) (3x-5)$
 Then, rewriting we have:
 $2 (3x-5) ^ 2$
 Answer:
 The factored expression is:
 $2 (3x-5) ^ 2$

Answer 2

18x² - 60x + 50
= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms
note:  9x² = 3x * 3x   and   25 = 5*5   and   3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)
= 2(3x-5)²