Question

Factorise:-
1+p+q+r+pq+qr+pr+pqr

Answer 1

1+p+q+r+pq+qr+pr+pqr = (1+p)(1+qr+q+r)

Step-by-step explanation:

Factories: Break into smaller factors or divisors.

f(x) = g(x)h(x)

Where g(x) and h(x) smaller factors.

Given that

1+p+q+r+pq+qr+pr+pqr

=(1+p)+(q+r)+pq+pr+qr+pqr

=(1+p)+(q+r)+p(q+r)+qr(1+p)  

=(1+p)+qr(1+p)+(q+r)+p(q+r)

=(1+p)(1+qr)+(q+r)(1+p)

=(1+p)(1+qr+q+r)

Answer 2

Answer:

ans is (1+p) (1+q) (1+r)