Question

27m³-216n³ factorise the following​

Answer 1

Step-by-step explanation:

(3m)^3 - (6m)^3

Using Identity a^3-b^3= (a-b) (a^2+b^2+ab)

a=3m, b=6m

Answer 2

Answer:

27m^3 +216n^3

(3m)^3 +(6n)^3

USING A^3 +B^3 FORMULA

(3m+6n)((3m)^2-(3m)(6n)+(6n)^3)

3(m+2n)(9m^2 -18mn + 216n)

3(m+2n)9(m^2 - 2mn+ 24n)

27(m+2n)(m^2 -2mn + 24n)

27(m+2n)(m^2 -6mn+4mn +24n)

27(m+2n)(m(m-6n)+4n(m+6))