Question

125y3 - 1 factorise​

Answer 1

Step-by-step explanation:

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 : 125 is the cube of 5

Check : 1 is the cube of 1

Check : y3 is the cube of y1

Factorization is :

(5y - 1) • (25y2 + 5y + 1)

Answer 2

Answer:

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