Question

factorize : (x² – 3x)² - 5(x² - 3 x) -50​

Answer 1

Answer:

Let x²-3x be a

a²-5a-50

Factorise

a²+5a-10a-50

a(a+5)-10(a+5)

(a-10)(a+5)

Replace a

(x²-3x-10)(x²-3x+5)

We can factorise the first bracket but not the second one .

(x²+2x-5x-10) (x²-3x+5)

{x(x+2)- 5(x+2)} (x²-3x+5)

(x-5)(x+2)(x²-3x+5)

Step-by-step explanation.