9. the local farm is advertising a special on fresh picked peaches. the farm charges $4.25 to pick
your own peck of peaches and $3.50 for each additional peck you pick. write an equation for the
total cost of peaches in terms of the number of pecks. deine your variables. how much does it
cost to pick 3 pecks of peaches?

11.25$ for 3 pecks of peaches 4.25 for the first and 3.50 for the 2nd and 3rd add them together and there is your answer

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)