İPUCU:
20,013 = (20 + 0,01)3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
(x + 3y)3;
( 2a -
1
2
b )3
(x + 3y)3 = x3+ 3•x2•3y + 3•x•(3y)2 +
(3y)3 =
= x3 + 9x2y + 27xy2 + 27y3.
( 2a -
1
2
b )3 =
(2a)3 -3 •
(2a)2 •
1
2
b + 3 • 2a •
(
1
2
b
)2-
(
1
2
b
)3=
= 8a3 - 6a2b +1,5ab2 -
1
8
b3.
(a + 1)3;
(a - 2)3;
(2x + y)3;
(2a - 3)3.
(x + y)3;
(m + 0,2)3;
(m-n)3;
(5 - x)3;
(x + 2)3;
(2p-1)3;
(
2
3
a + 3b )3;
( y +
1
3
)3.
353;
12,13;
523
433
20,013
(a3 + X)3 = a9 + 3a7b + 3a5b2 + Y;
(3a2 - X)3 = 27a6 - 54a5 + 36a4 - 8a3;
(X + 2a3)3 = 8a9 + 24a6b + 24a3b2 + 8b3;
(a2 - X)3 = a6 - 9a5 + 27a4- Y;
(a3 + X)3 = a9 + 3a7b4 + 3a5b8 + Y.