Magic Square Each of these 3x3 magic square puzzles is solved by determining the values that make the
sums all rows, columns and diagonals equal to the same value. The sum is referred to as the
magic constant. For a 3x3 magic square, there is actually only one normal solution and all of
the puzzles are derived from rotations or reflections of that puzzle
2
4
8
7
1
6
8
2.

b) well because you get well

lo98765432wqasdfghjkloi87654567890

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)