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Formation of Algebraic Expressions

Solve : 3x2-...

Question

Solve :
$(3 x^{2} - 2 a x + 3 a^{2})^{3}$

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Solution

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

$= (3 x^{2} - 2 a x + 3 a^{2}) (3 x^{2} - 2 a x + 3 a^{2}) (3 x^{2} - 2 a x + 3 a^{2})$

$= (9 x^{4} - 12 a x^{3} + 22 a^{2} x^{2} - 12 a^{3} x + 9 a^{4}) (3 x^{2} - 2 a x + 3 a^{2})$

$= 27 x^{6} - 54 a x^{5} + 117 a^{2} x^{4} - 116 a^{3} x^{3} + 117 a^{4} x^{2} - 54 a^{5} x + 27 a^{6}$

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Similar questions

((3 x^{2} - 2 a x) + 3 a^{2})^{3}

Q. Find the expansion of

{(3 x^{2} - 2 a x + 3 a^{2})}^{3}

Q. Find the expansion

(3 x^{2} - 2 a x + 3 a^{2})^{3}

using binomial theorem.

Q. Solve using quadratic formula,

3 x^{2} + 2 (3 + 2 a) x + 8 a = 0

\frac{a + \sqrt{a^{2} - 2 a x}}{\sqrt{a^{2} - 2 a x}} = b

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