Question

(p2 -3p)(p2-3p+7)+10 factorise

Answer 1

Step-by-step explanation:

(p²-3p)(p²-3p+7)+10

Let p²-3p be x

Expression becomes

x(x+7)+10

x²+7x+10

x²+5x+2x+10

x(x+5)+2(x+5)

(x+2)(x+5)

Now substitute x=p²-3p

Factorisation:- (p²-3p+2)(p²-3p+5)

(p-1)(p-2)(p²-3p+5)

hope it helps