Question

factorise 3p2-24p+36​

Answer 1

refer the attachment...

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+363p

2

−24p+36

First of all take 3 as GCM

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

2

−2p−6p+12)

Now, we can take GCF

3(p(p-2)-6(p-2))3(p(p−2)−6(p−2))

3((p-2)(p-6))3((p−2)(p−6))

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

I HOPE IT HELPFUL ☺