Question

factorise 8a³+b³+12a²+6ab²​

Answer 1

8a³+b³+12a²b+6ab²

= (2a)³ + b³ + 3.2a.b(2a+b)

= (2a+b)³

Answer 2

Answer:

$\sf \: (2a) {}^{3} + {(b)}^{3} + (2a)(b) \: \: (2a + b) \\ \\ \\ \bf \: here,\: \: x = 2a \: \: , \: \: \: y = b \\ \\ \\ \sf \: (2a + b) {}^{3} \\ \\ \sf(2a + b)(2a + b)(2a + b) \\ \\ \\ \qquad \bf \: using \: \: \: identity \: \: : - \\ \\ \\ \sf \: {x}^{3} + {y}^{3} + 3xy \: \: (x + y) \\ \\ \\ \sf \: \: (x + y) {}^{3}$

_______________________