Question

Factorise each of the following:
(i) 27y3 + 12523
(ii) 64m3 - 343n3​

Answer 1

Answer:

(i) 27y³ + 125z³

Using identity,

x³ + y³ = (x + y) (x² – xy + y²)

27y³ + 125z³

= (3y)³ + (5z)³

= (3y + 5z) {(3y)² – (3y)(5z) + (5z)²}

= (3y + 5z) (9y² – 15yz + 25z²)

(ii) 64m³ – 343n³

Using identity,

x³ – y³= (x – y) (x² + xy + y² )

64m³– 343n³

=(4m)³ – (7n)³

=(4m - 7n) {(4m)² + (4m)(7n) + (7n)²}

= (4m-7n) (16m²+ 28mn + 49n²)

Hope this will help you.....