Question

factorise the following expression m3-12m2+48m-64​

Answer 1

Answer:

m³ - 12m² + 48m - 64 = (m - 4)³

Step-by-step explanation:

We know that,

(a - b)³ = a³ - 3a²b + 3ab² - b³

Here,

We have,

m³ - 12m² + 48m - 64

= (m)³ - 3(m)²(4) + 3(m)(4)² - (4)³

Using the above identity,

= (m - 4)³

Hence,

m³ - 12m² + 48m - 64 = (m - 4)³

Hope it helped and believing you understood it........All the best