Answer:
[tex](x-5)(x-5)[/tex]
Step-by-step explanation:
We need to find two numbers that multiply to get 25 and have a sum of -10...
(-5)(-5)=25
-5-5=-10
We can split -10x into -5x and -5x:
[tex]x^2-5x-5x+25[/tex]
Factor each half of the expression separately:
[tex]x(x-5)-5(x-5)[/tex]
Since both x and -5 are being multiplied by (x-5), we can combine them to get:
[tex](x-5)(x-5)[/tex]