Question

Expand (2a + 3b)³ using suitable identities

Answer 1

Step-by-step explanation:

$we \: know \: that \: identity$

$(x - y) {}^{3} = {x}^{3} - 3 {x}^{2} y + 3xy {}^{2} - {y}^{3}$

Now ,

$(2a - 3b) {}^{2}$

= (2a)³ - 3(2a)² × 3b + 3 × 2a × (3b)² - (3b)³

= 8a³ - 3 × 4a²× 3b + 6a × 9b² - 27b³

= 8a - 36a²b + 54ab² - 27b³. Ans..

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Answer 2

Step-by-step explanation:

(a + b)3 = a3 + 3a2b + 3ab2 + b3

or

(a + b)3 = a3 + b3 + 3ab(a + b)

( 2a + 3b )^3 =

(2a)^3 + 3* (2a)^2 * 3b + 3* 2a*( 3b)^2 + ( 3b)^3

8a^3 + 36a^2b + 54b^2a + 27b^3

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