Question

Can anyone plz help me with this ques.
Factorise(x^2-5x)^2 -8(x^2-5x) -84

Answer 1

Hello friend!!!...Here is ur answer

(x^2-5x)^2 -8(x^2-5x) -84

Let x^25x=y

then the equation becomes y^2-8y-84

Now factorie the above equation

y^2-14y+6y-84

=> y(y-14)+6 (y-14)

=> (y-14)(y+6)

Now put the value of y

=> (x^2-5x-14)(x^2-5x+6)

=> [x^2-7x+2x-14][x^2-3x-2x+6]

=> [x (x-7)+2 (x-7)][x (x-3)-2 (x-3)]

=> (x-7)(x+2)(x-3)(x-2)

Hope it will help you