How do you factor the expression x^2 - 10x + 25?

3 Answers
Apr 22, 2018

x²-10x+25=(x-5)²

Explanation:

x²-10x+25

Delta=b²-4ac

Delta=(-10)²-4*1*25

Delta=100-100

Delta=0

So:

x=-b/(2a)

x=10/2=5

So :

x²-10x+25=(x-5)²

\0/ here's our answer !

x²-10x+25=(x-5)²

Explanation:

x²-10x+25

=x²-5x-5x+25

=x(x-5)-5(x-5)

=(x-5)(x-5)

=(x-5)²

\0/ here's our answer !

Aug 5, 2018

(x-5)^2

Explanation:

To factor this, let's do a little thought experiment:

What two numbers sum up to the middle term (-10) and have a product of the last term (25)?

After some trial and error, we arrive at -5 and -5. This means we can factor this as

(x-5)(x-5), which can be alternatively written as (x-5)^2.

Hope this helps!