Question

factorise 27m3-216n3​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

We know that,

a³ – b³ = (a – b) (a² + b² + ab)

27m3 – 216n3 = 27 (m³ – 8n³) [By taking out the common factor 27]

= 27 [m³ – (2n)³]

Here, a = m and b = 2n

Now, substituting in the above formula, we get

27 [m³ – (2n)³] = 27 {(m – 2n) [m² + m(2n) + (2n)²]}

= 27 (m – 2n) (m² + 2mn + 4n²)