Question

Factorize the polynomial (x - 5)2

– (5x - 25) - 24​

Answer 1

The question has a hint because 5x-25 is a multiple of x-5. So we can use splitting now.

→ $(x-5)^2-(5x-25)-24$

→ $(x-5)^2-5(x-5)-3\times 8$ (3-8 is -5)

→ $\{(x-5)+3\}\{(x-5)-8\}$

→ $(x-2)(x-13)$

(+Minor mistake was in the calculation.)