( 4 5 a 2 ) ^ 3 =( 4 5 a ) ^ 3 ( 2 ) ^ 3 3( 4 5 a ) ( 2 ) ( 4 5 a 2 ) = 64 125 a ^ 3 8 24 5 a( 4 5 a 2 ) = 64 125 a ^ 3 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities

Expand : 4 ...

Question

Expand :
${(\frac{4}{5} a - 2)}^{3}$

Open in App

Solution

${(\frac{4}{5} a - 2)}^{3} = {(\frac{4}{5} a)}^{3} - {(2)}^{3} - 3 (\frac{4}{5} a) (2) (\frac{4}{5} a - 2)$

$= \frac{64}{125} a^{3} - 8 - \frac{24}{5} a (\frac{4}{5} a - 2)$

$= \frac{64}{125} a^{3} - \frac{96}{25} a^{2} + \frac{48}{5} a - 8$

Hence, the answer is $\frac{64}{125} a^{3} - \frac{96}{25} a^{2} + \frac{48}{5} a - 8 .$

Suggest Corrections