Question

factorise 27y³+125z³​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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

Here, x = 3y and y = 5z

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

Thus, 27y³ + 125z³ = (3y + 5z)(9y² - 15yz + 25z²)

ii) 64m³ - 343n³ = (4m)³ - (7n)³

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

Here, x = 4m and y = 7n

(4m)³ - (7n)³ = (4m - 7n)[(4m)² + (4m)(7n) + (7n)²]

Thus, 64m³ - 343n³ = (4m - 7n)(16m² + 28mn + 49n²)