Question

2) Divide
p3 + 125 = (p+5)​

Answer 1

Step-by-step explanation:

Factoring: p3+125

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 125 is the cube of 5

Check : p3 is the cube of p1

Factorization is :

(p + 5) • (p2 - 5p + 25)

Answer 2

thank you I hope this helps you