Question

Factorise- (a 2 - 2a) 2 -23(a 2 -2a)+120

Answer 1

i hope this will useful to u

Answer 2

Answer:

(a-5)(a+3)(a-4)(a+2)

Step-by-step explanation:

P(a)=(a2-2a)² - 23(a²-2a) +120

.. Let a²-2a be x

=>(a2-2a) 2-23(a²-2a) +120

x2-23x+120 [splitting the Middle term) x²-8x-15x+120

= x(x-8) -15(x-8)

= (x-15) (x-8)

=> (a2-2a -15) (a²-2a-8)

So= P(a) =(a2-2a-15) (a2-2a-8).

=(a-5) (a+3) (a-4) (a+2) by factorising the two factors.