Question

solve (x-5)²-(5x-25)-24​

Answer 1

Step-by-step explanation:

hope it helps u mark me as brainlist

Answer 2

Answer:

• (x - 5) ² - (5x - 25) - 24 = (x - 2) (x - 13)

Given:

• (x - 5) ² - (5x - 25) - 24

Solution:

Method (1) :

➪ (x - 5)² - (5x - 25) - 24

➪ x² - 10x + 25 - 5x + 25 - 24

• Now middle term

➪ x² - 2x - 13x + 26

➪ x (x - 2) (x - 13)

Method (2) :

• Let x - 5 = a

➪ (x - 5)² - (5x - 25) - 24

➪ a² - 5a - 24

➪ a² - 8a + 3a - 24

➪ a (a - 8) + 3 ( a - 8)

➪ (a + 3) (a - 8)

• Replacing x = -5

➪ (x - 5 + 3) (x - 5 - 8)

➪ (x - 2) (x - 13)

Hence, (x - 5) ² - (5x - 25) - 24 = (x - 2) (x - 13)