a) (2x2 + 3y)3
= [(2x2)3 + 3 . (2x)2 . 3y + 3 . 2x . (3y)2 + (3y)3]
= 8x6 + 36x2y + 54xy2 + 27y3
b) (\(\left(\frac{1}{2}x-3\right)^3\)
=\(\left(\frac{1}{2}x\right)^3+3.\left(\frac{1}{2}\right)^2.3+3.\frac{1}{2}x.3^2-3^3\)
=\(\frac{1}{8}x^3+3.\frac{1}{4}x^2.3+3.\frac{1}{2}x.9-3^3\)
=\(\frac{1}{8}x^3+\frac{9}{4}x^2+\frac{27}{2}x-27\)
a) (2x2 + 3y)3 = (2x2)3 + 3.(2x2)2.3y + 3.2x2.(3y)2 + (3y)3
(Áp dụng HĐT (4) với A = 2x, B = 3y)
= 8x6 + 3.4x4.3y + 3.2x2.9y2 + 27y3
= 8x6 + 36x4y + 54x2y2 + 27y3