Question

Factorization please help​

Answer 1

`(p-3q)/(5p)`

Explanation:

Given

`(p^2-7pq+12q^2)/(5p^2-20pq)` ← factorise numerator and denominator

=
`((p-4q)(p-3q))/(5p(p-4q))` ← cancel (p - 4q) on numerator/ denominator

=
`(p-3q)/(5p)`

Answer 2

(p - 3q)/ 5p

Explanation:

p^2 - 7pq + 12 q^2

= (p - 3q)(p - 4q)

and

5p^2 - 20 pq = 5p(p - 4q)

The p - 4q is common to both expressions so the answer is

(p - 3q)/ 5p.