Question

Write the expansions of the following. a. ( 4 /3 x + ¾ y)3

Answer 1

Answer:

64/27 x^3 + 4 x^2 y + 9/4 x y^2 + 27/64 y^3

Step-by-step explanation:

(4/3 x + 3/4 y)^3

= (4/3 x)^3 + 3 (4/3 x)^2 (3/4 y) + 3 (4/3 x) (3/4 y)^2 + (3/4 y)^3

=64/27 x^3 + 3(16/9 x^2) (3/4 y) + 3 (4/3 x ) (9/16 y^2) + 27/64 y^3

=64/27 x^3 + 4 x^2 y + 9/4 x y^2 + 27/64 y^3