Question

factorise 3p2-24p+36

Answer 1

hope this helps you

Answer 2

Answer:

Factorized form of the given expression is 3(p-2)(p-6)

Step-by-step explanation:

We have to factor the expression $3p^2-24p+36$

First of all take 3 as GCM

$3(p^2-8p+12)$

Now, we can factorize it by middle term splitting or AC method. The product of a and c is 12. Hence, we can write the middle term -8 as a sum/difference of two factors of 12.

-8p = -2p -6p

Thus, we have

$3(p^2-2p-6p+12)$

Now, we can take GCF

$3(p(p-2)-6(p-2))$

$3((p-2)(p-6))$

Therefore, factorized form of the given expression is 3(p-2)(p-6)