Find the HCF of 5x {}^(2) - 125,x {}^(2) + 25and - 10x ​

Question

Find the HCF of

`5x {}^(2) - 125,x {}^(2) + 25and - 10x`
​

Answer 1

Explanation:

5x^2 - 125 factors into 5 (x^2 - 25)

x^2 - 25 factors into (x + 5)(x - 5)

So the answer to this part is 5(x + 5)(x - 5)

x^2 - 10x + 25 factors into

(x - 5)(x - 5)

So the HCF is (x - 5)