Factorise : 8a³ + b³ + 12a²b + 6ab²

(2a - b) (2a - b) (2a + b)

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(-2a + b) (-2a + b) (2a + b)

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(a+b)(2a+2b)(a+2b)

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(2a + b) (2a + b) (2a + b)

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Solution

The correct option is D
(2a + b) (2a + b) (2a + b)

Using formula (x + y)³= x³ + y³ + 3xy (x + y)

Here x = 2a , y= b
8a³ + b³ + 12a²b+ 6ab²= (2a)³+ b³ + 3(2a)(b)(2a + b)

= (2a + b) (2a + b) (2a +b)

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Similar questions

8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}

8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}

8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2}

8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2}

Factorise: $8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}$

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