Question

Factorize:

x²-y²-10x+2y+24

No spammed answers pls!

Answer 1

Answer:

(x - y - 4)(x + y - 6)

Step-by-step explanation:

Given Equation is x² - y² - 10x + 2y + 24

After adding some variables, It can be written as

= x² - y² - 6x - 4x + 6y - 4y + xy - xy + 24

'Rearrange the variables'

= x² + xy - 6x - xy - y² + 6y - 4x - 4y + 24

= x(x + y - 6) - y(x + y - 6) - 4(x + y - 6)

= (x - y - 4)(x + y - 6).

Hope it helps!

Answer 2

Answer:

(x - y - 4)(x + y - 6)

Step-by-step explanation:

Given Equation is x² - y² - 10x + 2y + 24

After adding some variables, It can be written as

= x² - y² - 6x - 4x + 6y - 4y + xy - xy + 24

'Rearrange the variables'

= x² + xy - 6x - xy - y² + 6y - 4x - 4y + 24

= x(x + y - 6) - y(x + y - 6) - 4(x + y - 6)

= (x - y - 4)(x + y - 6).


Hope it helps!