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index.htm
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<html>
<head>
<link rel="stylesheet" type="text/css" href="https://sagecell.sagemath.org/static/sagecell_embed.css">
</head>
<body>
<script src="https://sagecell.sagemath.org/static/embedded_sagecell.js"></script>
<script>sagecell.makeSagecell({"inputLocation": ".sage"
});</script>
<div class="sage">
<script src="bionomial-expand.py" type="text/x-sage">
def pascaltriangle(n):
# Produces Pascal's Triangle to row n starting at row 0
if n == 0:
return [[1]]
row = [1]
triangle = [[1],[1,1]]
if n == 1:
return triangle
for r in range(2,n+1):
row = [1]
for i in range (0,r-1):
row.append(triangle[r-1][i] + triangle[r-1][i+1])
row.append(1)
triangle.append(row)
return triangle
pascaltriangle(5)
def binomialExpand(x,y,r):
#expands (x + y)^r using Pascal's Triangle
row = pascaltriangle(r)[r]
sum = 0
for i in range(r+1):
sum += x^i*y^(r-i)*row[i]
return sum
# change this part
var('x y')
binomialExpand(x,y,4)
</script>
</div>
</body>
</html>