Pascal's Triangle
This is a triangular number pattern which can be used to help expand binomials. Look at the diagram below.
Can you predict the next 2 lines of the pattern?
(1 + x)0
1
=1
(1 + x)1
1 1
=1+x
(1 + x)2
1 2 1
=1+2x+x2
(1 + x)3
1 3 3 1
=1+3x+3x2+x3
(1 + x)4
1 4 6 4 1
=1+4x+6x2+4x3+x4
(1 + x)5
1 5 10 10 5 1
=1+5x+10x2+10x3+5x4+x5
(1 + x)6
(1 + x)7
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