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Showing puzzles tagged "expansions".
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17 December
All 2023 advent puzzles
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If you expand \((a+b+c)^2\), you get \(a^2+b^2+c^2+2ab+2ac+2bc\). This has 6 terms.
How many terms does the expansion of \((a+b+c+d+e+f)^5\) have?
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\((a+b+c+d+e+f)^5\) has
252
terms.
Tags:
algebra
,
expansions
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matrices
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grids
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chalkdust crossnumber
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sum to infinity
hexagons
percentages
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median
balancing
gerrymandering
indices
irreducible numbers
area
scales
dice
the only crossnumber
addition
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taxicab geometry
probability
shapes
averages
polygons
consecutive numbers
doubling
sets
spheres
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number
digital clocks
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angles
symmetry
wordplay
circles
consecutive integers
cubics
dates
factors
arrows
advent
pentagons
surds
pascal's triangle
square numbers
dodecagons
star numbers
geometric means
odd numbers
combinatorics
division
perfect numbers
money
coordinates
crossnumbers
chess
fractions
integers
unit fractions
numbers
square roots
3d shapes
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mean
partitions
tiling
parabolas
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lines
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decahedra
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