Binomial Theorem Worksheet 1
1.
Expand the following brackets:
(a)
(a + b)3
(b)
(p + q)4
(e)
(c - d)3
(f)
(u - v)5
2.
Expand the following brackets:
(a)
(x + 2)3
(b)
(a + 1)4
(e)
(1 + x)5
(f)
(i)
(a + 4)3
(m + n)5
(d)
(x + y)4
(c)
(y + 5)3
(d)
(p + 2)4
(m + 3)4
(g)
(c + 6)3
(h)
(x + 2)5
(j)
(2 + k)3
(k)
(x + 3)3
(l)
(4 + x)3
(m) (x - 2)3
(n)
(d - 1)3
(o)
(2 - x)3
(p)
(a - 8)3
(q)
(3 - k)3
(r)
(y - 6)3
(s)
(1 - x)3
(t)
(3 - x)3
3.
Expand the following brackets:
(a)
(2x + 1)3 (b)
(2a + 3)4 (c)
(1 + 2x)5 (d)
(3m + 2)3
(e)
(3x + 2)4 (f)
(2x + 5)3 (g)
(2x + y)4
(h)
(3a + 2b)3
(i)
(2x - 1)4
(j)
(4a - 3)3
(k)
(3x - 2)5
(l)
(2x - y)3
(m) (x – 3y)4
(n)
(2x – 3y)3 (o)
(x – 2y)5
(p)
(3x - y)3
(q)
(2x + 7)3 (r)
(2x + 3y)4 (s)
(1 – 3p)3
(t)
(3 + 2a)5
(u)
(2x - k)3
(1 – 3x)4
(w) (3x – 4y)5 (x)
(5 – 3x)4
(v)
(c)
Pascal’s Triangle
n=0
n=1
n=2
n=3
n=4
n=5
n=6
n=7
n=8
n=9
n = 10