Question

1)(3 10. Factorise each of the following:
(i) 27y3 + 125z
(ii) 64m3 - 343n3​

Answer 1

Answer:

Step-by-step explanation:

(1) 27y³+125z³

=> (3y)³+(5z)³

So here we used formula x³+ y³

= (x+y)(x² - xy+y²)

So

=> (3y+5z) [(3y)²-3y×5z+(5z²)]

=> (3y-5z) (9y²-15yz+25z²)

(2) 64m³ - 343n³

= (4m)³ - (7n)³

Use, formula,

a³ - b³ =( a - b)(a² + ab + b²)

= (4m - 7n) {(4m)² + (4m)(7n) + (7n)² }

= (4m - 7n) {16m² + 28mn + 49n²}