Question

Factor completely x2 − 10x 25. (x − 5)(x − 5) (x 5)(x 5) (x 5)(x − 5) (x − 25)(x − 1).

Answer 1

`(x-5)(x-5)`

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:

`x^2-5x-5x+25`

Factor each half of the expression separately:

`x(x-5)-5(x-5)`

Since both x and -5 are being multiplied by (x-5), we can combine them to get:

`(x-5)(x-5)`