Question

factorise 729a³ - 216b³​

Answer 1

Step-by-step explanation:

729 is cube of 9

216 is a cube of 6

\begin{gathered} \: \: = 729 {a}^{3} - {216}^{3} \\ = {9}^{3} {a}^{3} - {6}^{3} \: \: \: \: \: \: \\ = \sqrt[3]{ {9}^{3} {a}^{3} \: - {6}^{3} } \\ = \sqrt[3]{9a - 6} \: \: \: \: \: \: \: \: \end{gathered}

=729a

3

−216

3

=9

3

a

3

−6

3

=

3

9

3

a

3

−6

3

=

3

9a−6

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