Question

P2+14p+48 factorise​

Answer 1

Answer:

(p+6)(p+8)

Step-by-step explanation:

p²+14p+48

= p²+6p+8p+48

= p(p+6)+8(p+6)

= (p+6)(p+8)

Answer 2

On factorising​ p²+14p+48 we will get (p+8) (p+6)

Given:

p²+14p+48 factorise​  

To find:

Factors of p²+14p+48  

Solution:

Given equation p²+14p+48  

Split the middle term  8p + 6p   [ ∵ 8 × 6 = 48 ]

⇒ p² +8p +6p +48

Take common p from first 2 terms and 6 from last 2 terms

⇒ p (p+8) + 6 (p+8)  

Take common (p+8)  

⇒ (p+8) (p+6)

Therefore,

On factorising​ p²+14p+48 we will get (p+8) (p+6)

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