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Binomial Expression

Find the expa...

Question

Find the expansion of ${(3 x^{2} - 2 a x + 3 a^{2})}^{3}$ using binomial theorem.

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Solution

${(3 a^{2})}^{3} {({(\frac{x}{a})}^{2} - \frac{2 x}{3 a} + 1)}^{3}$

$⟹ {(3 a^{2})}^{3} (1 + 3 {(\frac{x}{a})}^{2} - \frac{2 x}{3 a} + 3 {({(\frac{x}{a})}^{2} - \frac{2 x}{3 a})}^{2} + {({(\frac{x}{a})}^{2} - \frac{2 x}{3 a})}^{3})$

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