Question

express x(x-1)(x-3)(x-4)(x-6)+34 as a sum of two squares.​

Answer 1

Step-by-step explanation:

(x-1)(x-3)(x-4)(x-6)+34

(x-1)(x-6)(x-3)(x-4)+34

(x²-7x+6)(x²-7x+12)+34

Let x²-7x be a

(a+6)(a+12)+34

(a²+18a+72)+34

a²+18a+106

a²+18a+81+25

(a+9)²+5²

(x²-7x+9)²+5²