Question

factorise 8a cube+ root 27 b cube ​

Answer 1

Answer:

$\star \: \red{(2a + \sqrt{3} b)(4 {a}^{2} + 3 {b}^{2} - 2 \sqrt{3} ab)} \:$

Used Identity :

$\implies \: \red{{x}^{3} + {y}^{3} } = \green{(x + y)( {x}^{2} + {y}^{2} - xy)}$

Explanation:

We have ,

$\implies \: 8 {a}^{3} + \sqrt{27} \: { \: b}^{3} \\ \\ \implies \: {(2a)}^{3} + { (\sqrt{3}b) }^{3}$

Using the given identify →

$\small \: \implies \: (2a + \sqrt{3} b) \bigg( {(2a)}^{2} + {( \sqrt{3}b \: ) }^{2} - 2a \times \sqrt{3} b \bigg) \\ \\ \implies \: \small \: \red{(2a + \sqrt{3} b)(4 {a}^{2} + 3 {b}^{2} - 2 \sqrt{3} ab)}$

This is the required solution.

Answer 2

Answer:

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