Question

Factorise:- 125x3 – 27y3​

Answer 1

Answer:

(5x−3y)⋅(25x2+15xy+9y2)

Step-by-step explanation:

(125 • (x3)) - 3^3y3

5^3x3 - 3^3y3 a3 - b3 (a-b) • (a2 +ab +b2)

Factorization is :

             (5x - 3y)  •  (25x2 + 15xy + 9y2) 

Answer 2

Using Identity x³-y³ = (x-y)(x²+xy+y²)

x= (5x)³ , y = (3y)³

(5x)³ - (3y)³ = (5x-3y) [ (5x)² + (5x)(3y) + (3y)² ]

= (5x-3y) (25x² + 15xy + 9y²)

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