Question

Please factorize the problem​

Answer 1

EXPLANATION.

⇒ (y² - 5y)² - 2(y² - 5y) - 24.

As we know that,

Formula of :

⇒ (x - y)² = x² + y² - 2xy.

Using this formula in the equation, we get.

⇒ (y² - 5y)² - (2y² - 10y) - 24.

⇒ (y² - 5y)² - 2y² + 10y - 24.

⇒ y⁴ + 25y² - 2(y²)(5y) - 2y² + 10y - 24.

⇒ y⁴ + 25y² - 10y³ - 2y² + 10y - 24.

⇒ y⁴ - 10y³ + 25y² - 2y² + 10y - 24.

⇒ y⁴ - 10y³ + 23y² + 10y - 24.

Answer 2

Step-by-step explanation:

To Factorize-

→(y²-5y)²-2(y²-5y)-24

Solution:-

To factorise it we are taking (y²-5y) as 'a'

So

(y²-5y)²-2(y²-5y)-24

→a²-2a-24

→a²-6a+4a-24 (by splitting -2a)

→a(a-6)+4(a-6)

→(a-6)(a+4)

Now we put the value of a in it. We get,

→(y²-5y-6)(y²-5y+4)