Question

write the following cubes in expanded from (2a+3b)3​

Answer 1

Answer:

8a^3 + 27b^3 + 24a^2b + 54ab^2

Step-by-step explanation:

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

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

= 8a^3 + 27b^3 + 24a^2b + 54ab^2

Answer 2

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

= 8a3 + 27b3 + 18ab(2a+3b)

= 8a3 + 27b3+ 36a+ 54ab2