Question

s
Divide
x3 - 64 ; x-4​

Answer 1

Answer:

Hope it will help you

Step-by-step explanation:

Factoring:x3-64

A difference of two perfect cubes, a3-b3 can be factored into

(a-b) (a2+ab+b2)

So,

(a-b) (a2+ab+b2) =a3+a2b+ab2-ba2-b2a-b3=a3+(a2b-ba2) +(ab2-b2a) - b3= a3+0+0+b3 = a3+b3.

64 is cube of 4

X3 is cube of x

Therefore factorisation is:

Ans -- (X-4) ; (x2+4x+16)