Question

27a^3 + 8b^3 +54a^2 b + 36 a b^2​

Answer 1

$Given \: 27a^3 + 8b^3 +54a^2 b + 36 a b^2$

$= (3a)^{3} + (2b)^{3} + 3 \times (3a)^{2} \times b + 3 \times (3a) \times b^{2}$

$= ( 3a + 2b )^{3}$

/* By algebraic identity */

$\boxed{ \pink{ x^{3} + y^{3} + 3x^{2}y + 3xy^{2} = (x+y)^{3} }}$

Therefore.,

$\red{27a^3 + 8b^3 +54a^2 b + 36 a b^2}$

$\green {= ( 3a + 2b )^{3} }$

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