Question

$(2a - 3b) {3}$
help me from this math equation​

Answer 1

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Answer 2

$\underline{\underline{\red{\bf{Question: -}}}}$

$\:\:\:\:\:\:\:\:\:\:$ $\sf{(2a - 3b)³}$

$\underline{\underline{\red{\bf{Answer : -}}}}$

$\:\:\:\:\:\:\:\:\:\:$ $\sf{(2a - 3b)³}$

By using identity

$\:\:\:\:\:\:\:\:\:\:$ $\sf\bf{(a - b)³ = a³ - b³ - 3a²b + 3ab²}$

$\:\:\:\:\:\:\:\:\:\:$ $\sf\implies{(2a)³ - (3b)³ - 3(2a)² (3b) + (3a) (3b)²}$

$\:\:\:\:\:\:\:\:\:\:$ $\sf\implies{8a³ - 27b³ - 36a²b + 54ab²}$

$\rule{200pt}{4pt}$

Additional information

$\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{{More \: identities}}}} \\ \\ \bigstar \: \bf{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \bigstar \: \bf{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \bigstar \: \bf{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \bigstar \: \bf{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \bigstar \: \bf{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \end{array} }}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$