Question

the factorise of x-8xy^3/4 is

Answer 1

Step-by-step explanation:

Factoring: 8y3 - 1

Theory : A difference 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 : 8 is the cube of 2

Check : 1 is the cube of 1

Check : y3 is the cube of y1

Factorization is :

(2y - 1) • (4y2 + 2y +1

this the answer mate