Question

3√3x^3- 125 factorize​

Answer 1

Answer:

$\red {3\sqrt{3}x¢{3} - 125}$

$\green{= (\sqrt{3}x-5)(3x^{2}+5\sqrt{3}x+25)}$

Step-by-step explanation:

$3\sqrt{3} x^{3} - 125 \\= \left( \sqrt{3}x\right)^{3} - 5^{3}$

$= (\sqrt{3}x - 5) [(\sqrt{3})^{2} + \sqrt{3}x \times 5 + 5^{2})$

$\boxed { \pink { a^{3} - b^{3} = (a-b)(a^{2}+ab+b^{2}) }}$

$= (\sqrt{3}x - 5)(3x^{2}+5\sqrt{3}x+25)$

Therefore.,

$\red {3\sqrt{3}x^{3} - 125}$

$\green {= (\sqrt{3}x-5)(3x^{2}+5\sqrt{3}x+25)}$

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