Problems
Problem :
Write out the expansion of
(x + y)6
.
(x + y)6 = x
6 +6x
5
y + 15x
4
y
2 +20x
3
y
3 +15x
2
y
4 +6xy
5 + y
6
.
Problem :
Write out the expansion of
(x - 5)4
.
(x - 5)4 = x
4 -20x
3 +150x
2 - 500x + 625
.
Problem :
Write out the expansion of
(2x + 7y)3
.
(2x + 7y)3 = 8x
3 +84x
2
y + 294xy
2 +343y
3
.
Problem :
Write out the expansion of
(1 - x)7
.
(1 - x)7 = 1 - 7x + 21x
2 -35x
3 +35x
4 -21x
5 +7x
6 - x
7
.
Problem :
Write out the expansion of
(x
2 +3y)4
.
(x
2 +3y)4 = x
8 +12x
6
y + 54x
4
y
2 +108x
2
y
3 +81y
4
.