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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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prime factors
addition
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axes
pentagons
multiplication
algebra
means
spheres
routes
complex numbers
partitions
3d shapes
lines
logic
balancing
perfect numbers
2d shapes
lists
consecutive numbers
dice
factors
unit fractions
number
multiplaction squares
sum to infinity
squares
range
polygons
triangle numbers
cube numbers
tiling
volume
perimeter
functions
differentiation
sport
albgebra
wordplay
elections
fractions
shape
division
hexagons
tournaments
odd numbers
rugby
numbers
doubling
folding tube maps
circles
gerrymandering
matrices
games
shapes
multiples
quadrilaterals
digits
scales
digital products
sets
books
determinants
prime numbers
coins
percentages
proportion
bases
indices
consecutive integers
parabolas
factorials
mean
area
grids
probabilty
surds
quadratics
neighbours
money
decahedra
geometric means
planes
xor
powers
medians
probability
coordinates
graphs
chocolate
irreducible numbers
integers
crosswords
chess
cryptic clues
square grids
remainders
dominos
cards
angles
crossnumbers
binary
cryptic crossnumbers
christmas
symmetry
chalkdust crossnumber
menace
averages
taxicab geometry
combinatorics
geometric mean
the only crossnumber
integration
speed
sequences
floors
pascal's triangle
digital clocks
polynomials
rectangles
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advent
time
colouring
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ave
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